alternate angles
•Download as PPTX, PDF•
2 likes•1,325 views
The document presents a proof that alternate angles are equal. It defines two types of alternate angles: alternate interior angles and alternate exterior angles. It gives an example of two lines intersected by a transversal line to represent the angles. The proof uses vertically opposite angles and corresponding angles properties to show that alternate interior angles are congruent. It also asks to identify angle relationships and find values of variables in examples of alternate exterior and interior angles.
Report
Share
Report
Share
Recommended
Operations with integers
Integers include all whole numbers and their opposites, and zero. The key rules for operations with integers are:
1) Adding integers of the same sign yields a positive sum, while those of opposite signs subtracts and uses the sign of the larger number.
2) Multiplying and dividing integers follows sign rules - same signs yield a positive result, different signs a negative one.
3) To subtract integers, change the operation to addition by changing the subtraction sign to addition and changing the sign of the number being subtracted.
The Fundamental Counting Principle
Subway and Starbucks advertise over 10,000 combinations of ways to customize sandwiches and drinks due to the many condiment and serving options. Companies can calculate combinations using (1) tree diagrams to show all outcomes or (2) the fundamental counting principle of multiplying the number of options at each choice point. Tree diagrams specifically show individual outcomes while the counting principle gives the total number of outcomes. Examples demonstrate using each method to find combinations in probability problems.
Pairs of Angles
This document defines and describes different types of angles:
1) Adjacent angles share a common vertex and side. Vertically opposite angles are formed when two lines intersect and are equal.
2) Complementary angles have a sum of 90 degrees. Supplementary angles have a sum of 180 degrees.
3) A linear pair is two adjacent supplementary angles.
4) A transversal intersects two or more lines. It forms corresponding, alternate, and interior angles that follow specific properties.
1.5 Complementary and Supplementary Angles
Some slides lifted from: http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=4&ved=0CEsQFjAD&url=http%3A%2F%2Fdionmath.wikispaces.com%2Ffile%2Fview%2F2.3%2BComplementary%2Band%2BSuppl.%2BAngles.ppt&ei=_wVFUbzHCa-o4AP9ooGwBQ&usg=AFQjCNF-KDyDx_yiVaUuMJMdM6yOJqHASQ&sig2=wH2TZ9xGxsHgtc4cCnn2QQ&bvm=bv.43828540,d.dmg&cad=rja
2.4 Linear Functions
Identify whether a relation is a function
Calculate the slope between two points
Graph a linear function
Parallel and perpendicular lines
Parallel and perpendicular lines
objectives:
who uses them
how to use them
vocabulary
types of lines
Isosceles Triangles
This document discusses properties of isosceles triangles. It states that an isosceles triangle has at least two sides of equal length. The base angles of an isosceles triangle are always congruent. If a triangle has two congruent angles, then it is an isosceles triangle. An equilateral triangle is a special type of isosceles triangle where all three sides are congruent and all three angles are congruent.
Angles.ppt No 2 topic.ppt
Corresponding angles: ∠GPB and ∠PQE
Alternate angles: ∠BPQ and ∠DQP
Interior angles: ∠BPQ and ∠EQP whose measures add up to 1800
Recommended
Operations with integers
Integers include all whole numbers and their opposites, and zero. The key rules for operations with integers are:
1) Adding integers of the same sign yields a positive sum, while those of opposite signs subtracts and uses the sign of the larger number.
2) Multiplying and dividing integers follows sign rules - same signs yield a positive result, different signs a negative one.
3) To subtract integers, change the operation to addition by changing the subtraction sign to addition and changing the sign of the number being subtracted.
The Fundamental Counting Principle
Subway and Starbucks advertise over 10,000 combinations of ways to customize sandwiches and drinks due to the many condiment and serving options. Companies can calculate combinations using (1) tree diagrams to show all outcomes or (2) the fundamental counting principle of multiplying the number of options at each choice point. Tree diagrams specifically show individual outcomes while the counting principle gives the total number of outcomes. Examples demonstrate using each method to find combinations in probability problems.
Pairs of Angles
This document defines and describes different types of angles:
1) Adjacent angles share a common vertex and side. Vertically opposite angles are formed when two lines intersect and are equal.
2) Complementary angles have a sum of 90 degrees. Supplementary angles have a sum of 180 degrees.
3) A linear pair is two adjacent supplementary angles.
4) A transversal intersects two or more lines. It forms corresponding, alternate, and interior angles that follow specific properties.
1.5 Complementary and Supplementary Angles
Some slides lifted from: http://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=4&ved=0CEsQFjAD&url=http%3A%2F%2Fdionmath.wikispaces.com%2Ffile%2Fview%2F2.3%2BComplementary%2Band%2BSuppl.%2BAngles.ppt&ei=_wVFUbzHCa-o4AP9ooGwBQ&usg=AFQjCNF-KDyDx_yiVaUuMJMdM6yOJqHASQ&sig2=wH2TZ9xGxsHgtc4cCnn2QQ&bvm=bv.43828540,d.dmg&cad=rja
2.4 Linear Functions
Identify whether a relation is a function
Calculate the slope between two points
Graph a linear function
Parallel and perpendicular lines
Parallel and perpendicular lines
objectives:
who uses them
how to use them
vocabulary
types of lines
Isosceles Triangles
This document discusses properties of isosceles triangles. It states that an isosceles triangle has at least two sides of equal length. The base angles of an isosceles triangle are always congruent. If a triangle has two congruent angles, then it is an isosceles triangle. An equilateral triangle is a special type of isosceles triangle where all three sides are congruent and all three angles are congruent.
Angles.ppt No 2 topic.ppt
Corresponding angles: ∠GPB and ∠PQE
Alternate angles: ∠BPQ and ∠DQP
Interior angles: ∠BPQ and ∠EQP whose measures add up to 1800
Classifying Angles
This document discusses different types of angles including acute, obtuse, right, and straight angles. It defines an angle as being formed by two rays sharing an endpoint called the vertex. Angles are measured in degrees, with acute angles between 0-90 degrees, obtuse angles between 90-180 degrees, right angles equal to 90 degrees, and a straight angle equaling 180 degrees. It includes examples of each type of angle and encourages identifying them in a game.
Systems of Linear Equations Graphing
There are three possible outcomes when graphing two linear equations:
1) A single point of intersection, meaning one solution.
2) Parallel lines, meaning no solution.
3) Coincident lines with the same slope and y-intercept, meaning an infinite number of solutions.
The type of solution can be determined without graphing by writing the equations in slope-intercept form and comparing slopes and y-intercepts. Different slopes means one solution, same slope but different intercepts means no solution, and same slope and intercept means infinite solutions.
Trigonometric Identities.
The document discusses three main groups of trigonometric identities: reciprocal relations which relate trig functions that are inverse of each other like tangent and cotangent; quotient relations which show relationships between ratios of trig functions like tangent being equal to the sine over the cosine; and the Pythagorean relation which is the fundamental relationship between sine and cosine where the square of one added to the square of the other is equal to 1. Examples are provided for each type of identity and an activity is included to practice using and filling in identity formulas.
Perimeter, area and volume
This document discusses perimeter, area, and volume. It begins by defining perimeter as the distance around a shape found by adding all the side lengths. It provides examples of calculating perimeters of rectangles, irregular shapes, and converting between units. It then defines area as a measure of how much surface a shape covers. It gives formulas and examples for finding the areas of rectangles, triangles, parallelograms, trapezoids, and irregular shapes. Finally, it discusses surface area as the total area of all faces of a shape. It provides the surface area formulas and worked examples for cuboids and cubes.
Math 8 – congruent triangles
This document discusses congruent triangles and the corresponding parts theorem. It defines the three postulates used to prove congruence: SSS, SAS, and ASA. It provides an example of using the SSS postulate and corresponding parts theorem to show that two angles are congruent and find the exact measure of one of the angles. It emphasizes that corresponding parts theorem can only be used after triangles are shown to be congruent.
Angle relationships
1) The document defines and provides examples of different types of angles including adjacent angles, complementary angles, supplementary angles, vertical angles, and angles formed when parallel lines are cut by a transversal.
2) It then provides practice problems involving calculating missing angles using properties such as angles summing to 90, 180 degrees, and the interior angles of triangles summing to 180 degrees.
3) The final problems involve identifying congruent, supplementary, and corresponding angles related to two parallel lines cut by a transversal.
Angle Relationships Power Point
The document discusses various angle relationships including:
- Defining acute, obtuse, right, and straight angles
- Explaining how to name angles based on their vertices
- Classifying pairs of angles as complementary, supplementary, or neither based on their degree measures
- Using properties of complementary and supplementary angles to find the measure of a missing angle
5.3 Congruent Triangle Proofs
This document provides guidance on writing proofs to show that two triangles are congruent. It explains that additional information is needed beyond just being given that the triangles are congruent, such as one of the congruence theorems (AAS, HL, SAS, or ASA). It then demonstrates a three step process for writing congruent triangle proofs: 1) Mark any given information; 2) Identify the congruence theorem and additional needed information; 3) Write statements with reasons, concluding what is to be proved. An example proof is given using the SSS theorem to show two triangles with two shared sides are congruent. Common theorems that can be used in proofs are also listed.
Linear pair
1. The document discusses linear pairs of angles and how to determine if two angles form a linear pair.
2. It provides examples of drawing angles and labeling common and uncommon sides to identify linear pairs. Properties of linear pairs are explained, including that angles in a linear pair are supplementary.
3. Analyze statements about linear pairs and determine if they are always, sometimes, or never true. Solve word problems involving finding missing angle measures in linear pairs.
Enlargement
The document provides definitions and explanations of key terms related to enlargements in geometry, including:
- Enlargement is a transformation where lengths are multiplied by a scale factor to produce an image.
- The scale factor is the multiplier used to enlarge an object. It also determines the area and volume multipliers.
- The centre of enlargement is the point lines join corresponding vertices between the original and image.
- To enlarge about a centre, lines are drawn from it through vertices and lengths are measured as multiples of the original from the centre.
Simple Equations I
This document discusses solving one-step linear equations using addition and subtraction. It defines key terms like equations, solutions, and isolating variables. It explains that when transforming equations, the same operations must be applied to both sides to maintain equivalence. Inverse operations like addition and subtraction can isolate variables. Examples show how to isolate variables using addition or subtraction and solve equations. Students are then prompted to solve practice equations on their own. The document also discusses using equations to solve real-world problems, like finding a person's maximum heart rate based on their age.
Angles formed by parallel lines cut by transversal
If parallel lines are cut by a transversal, eight angles are formed that have specific relationships. Corresponding angles are congruent. Alternate interior angles and alternate exterior angles are congruent. Interior angles and exterior angles on the same side of the transversal are supplementary. The document provides examples of angle measurements that illustrate these properties and includes practice problems asking to determine angle measures using these relationships.
Linear relations
This document discusses linear relations and how to represent relationships between two variables with tables, graphs, and equations. It explains that a linear relation produces a straight line when graphed and can be represented by an equation of the form y = mx + b, where m is the slope and b is the y-intercept. Examples are provided to illustrate how to determine the equation from a table of values and vice versa, as well as how to graph lines from equations or data tables.
10.1 Distance and Midpoint Formulas
1. The document discusses the distance and midpoint formulas in coordinate geometry.
2. It provides the formulas for finding the distance between two points and the midpoint of a line segment.
3. Examples are given of using the formulas to find distances and midpoints, as well as classifying triangles and finding endpoint coordinates given a midpoint.
Chapter 1 ( Basic Concepts in Geometry )
Chapter 1 Basic Concepts in Geometry
1.1 Points, Lines and Planes
1.2 Line Segment
1.3 Rays and Angles
1.4 Some Special Angles
1.5 Angles Made By A Transversal
1.6 Transversal Across Two Parallel Lines
1.7 Conditions For Parallelism
6.1 Triangle Angle Relationships
Find the measures of missing angles of triangles
Find the measures of missing remote interior and exterior angles
Evaluating Algebraic Expressions
This document discusses expressions and equations. It defines an expression as not containing an equal sign, while equations do. There are two types of expressions: numerical expressions containing only numbers, and algebraic expressions containing numbers, symbols, and variables. A variable represents an unknown value and can be any letter. The document provides examples of evaluating algebraic expressions by substituting numbers for variables.
GE 4.3 proving triangles congruent 12-2
This document discusses different methods for proving that triangles are congruent: SSS, SAS, ASA, AAS, and HL. It defines congruent polygons as having the same size and shape, meaning all corresponding sides are the same length and all corresponding angles have the same measure. The order of letters in a congruence statement indicates which angles or sides are being shown as congruent to prove the triangles are congruent.
angles of parallel line cut by a transversal line
This document discusses angles formed when parallel lines are cut by a transversal line. It defines key terms like parallel lines, transversal, and describes angle pairs that are formed - alternate interior angles, alternate exterior angles, corresponding angles, interior angles on the same side of the transversal, and vertical angles. It notes that alternate interior angles, alternate exterior angles, and corresponding angles are congruent, while interior angles on the same side of the transversal are supplementary. Vertical angles are always equal.
8 4 Rhombuses, Rectangles, And Squares
This document discusses different types of quadrilaterals (four-sided polygons), including parallelograms, rectangles, rhombuses, and squares. It provides properties to define each shape and instructs how to make a foldable with examples of each quadrilateral type. Key properties include: parallelograms have two pairs of parallel sides; rectangles are parallelograms with four right angles; rhombuses are parallelograms with four congruent sides; squares are rectangles and rhombuses with four right angles and four congruent sides. A Venn diagram compares the properties of these quadrilaterals.
LINES AND ANGLES.pptx
Alternate interior angles are congruent
3. 1 5
4.l m
1. Given
2. Vertical Angles Thm
3. Transitive Property of Congruence
4. Converse of Alternate Interior Angles Theorem
Module 3 geometric relations
This module discusses geometric relationships involving angles formed when parallel lines are cut by a transversal. It covers identifying corresponding angles, alternate interior angles, alternate exterior angles, and angles on the same side of the transversal. Relationships between these angles are that corresponding angles and alternate interior angles are congruent, and angles on the same side of the transversal are supplementary. Examples are provided to demonstrate solving for unknown angle measures using these relationships.
More Related Content
What's hot
Classifying Angles
This document discusses different types of angles including acute, obtuse, right, and straight angles. It defines an angle as being formed by two rays sharing an endpoint called the vertex. Angles are measured in degrees, with acute angles between 0-90 degrees, obtuse angles between 90-180 degrees, right angles equal to 90 degrees, and a straight angle equaling 180 degrees. It includes examples of each type of angle and encourages identifying them in a game.
Systems of Linear Equations Graphing
There are three possible outcomes when graphing two linear equations:
1) A single point of intersection, meaning one solution.
2) Parallel lines, meaning no solution.
3) Coincident lines with the same slope and y-intercept, meaning an infinite number of solutions.
The type of solution can be determined without graphing by writing the equations in slope-intercept form and comparing slopes and y-intercepts. Different slopes means one solution, same slope but different intercepts means no solution, and same slope and intercept means infinite solutions.
Trigonometric Identities.
The document discusses three main groups of trigonometric identities: reciprocal relations which relate trig functions that are inverse of each other like tangent and cotangent; quotient relations which show relationships between ratios of trig functions like tangent being equal to the sine over the cosine; and the Pythagorean relation which is the fundamental relationship between sine and cosine where the square of one added to the square of the other is equal to 1. Examples are provided for each type of identity and an activity is included to practice using and filling in identity formulas.
Perimeter, area and volume
This document discusses perimeter, area, and volume. It begins by defining perimeter as the distance around a shape found by adding all the side lengths. It provides examples of calculating perimeters of rectangles, irregular shapes, and converting between units. It then defines area as a measure of how much surface a shape covers. It gives formulas and examples for finding the areas of rectangles, triangles, parallelograms, trapezoids, and irregular shapes. Finally, it discusses surface area as the total area of all faces of a shape. It provides the surface area formulas and worked examples for cuboids and cubes.
Math 8 – congruent triangles
This document discusses congruent triangles and the corresponding parts theorem. It defines the three postulates used to prove congruence: SSS, SAS, and ASA. It provides an example of using the SSS postulate and corresponding parts theorem to show that two angles are congruent and find the exact measure of one of the angles. It emphasizes that corresponding parts theorem can only be used after triangles are shown to be congruent.
Angle relationships
1) The document defines and provides examples of different types of angles including adjacent angles, complementary angles, supplementary angles, vertical angles, and angles formed when parallel lines are cut by a transversal.
2) It then provides practice problems involving calculating missing angles using properties such as angles summing to 90, 180 degrees, and the interior angles of triangles summing to 180 degrees.
3) The final problems involve identifying congruent, supplementary, and corresponding angles related to two parallel lines cut by a transversal.
Angle Relationships Power Point
The document discusses various angle relationships including:
- Defining acute, obtuse, right, and straight angles
- Explaining how to name angles based on their vertices
- Classifying pairs of angles as complementary, supplementary, or neither based on their degree measures
- Using properties of complementary and supplementary angles to find the measure of a missing angle
5.3 Congruent Triangle Proofs
This document provides guidance on writing proofs to show that two triangles are congruent. It explains that additional information is needed beyond just being given that the triangles are congruent, such as one of the congruence theorems (AAS, HL, SAS, or ASA). It then demonstrates a three step process for writing congruent triangle proofs: 1) Mark any given information; 2) Identify the congruence theorem and additional needed information; 3) Write statements with reasons, concluding what is to be proved. An example proof is given using the SSS theorem to show two triangles with two shared sides are congruent. Common theorems that can be used in proofs are also listed.
Linear pair
1. The document discusses linear pairs of angles and how to determine if two angles form a linear pair.
2. It provides examples of drawing angles and labeling common and uncommon sides to identify linear pairs. Properties of linear pairs are explained, including that angles in a linear pair are supplementary.
3. Analyze statements about linear pairs and determine if they are always, sometimes, or never true. Solve word problems involving finding missing angle measures in linear pairs.
Enlargement
The document provides definitions and explanations of key terms related to enlargements in geometry, including:
- Enlargement is a transformation where lengths are multiplied by a scale factor to produce an image.
- The scale factor is the multiplier used to enlarge an object. It also determines the area and volume multipliers.
- The centre of enlargement is the point lines join corresponding vertices between the original and image.
- To enlarge about a centre, lines are drawn from it through vertices and lengths are measured as multiples of the original from the centre.
Simple Equations I
This document discusses solving one-step linear equations using addition and subtraction. It defines key terms like equations, solutions, and isolating variables. It explains that when transforming equations, the same operations must be applied to both sides to maintain equivalence. Inverse operations like addition and subtraction can isolate variables. Examples show how to isolate variables using addition or subtraction and solve equations. Students are then prompted to solve practice equations on their own. The document also discusses using equations to solve real-world problems, like finding a person's maximum heart rate based on their age.
Angles formed by parallel lines cut by transversal
If parallel lines are cut by a transversal, eight angles are formed that have specific relationships. Corresponding angles are congruent. Alternate interior angles and alternate exterior angles are congruent. Interior angles and exterior angles on the same side of the transversal are supplementary. The document provides examples of angle measurements that illustrate these properties and includes practice problems asking to determine angle measures using these relationships.
Linear relations
This document discusses linear relations and how to represent relationships between two variables with tables, graphs, and equations. It explains that a linear relation produces a straight line when graphed and can be represented by an equation of the form y = mx + b, where m is the slope and b is the y-intercept. Examples are provided to illustrate how to determine the equation from a table of values and vice versa, as well as how to graph lines from equations or data tables.
10.1 Distance and Midpoint Formulas
1. The document discusses the distance and midpoint formulas in coordinate geometry.
2. It provides the formulas for finding the distance between two points and the midpoint of a line segment.
3. Examples are given of using the formulas to find distances and midpoints, as well as classifying triangles and finding endpoint coordinates given a midpoint.
Chapter 1 ( Basic Concepts in Geometry )
Chapter 1 Basic Concepts in Geometry
1.1 Points, Lines and Planes
1.2 Line Segment
1.3 Rays and Angles
1.4 Some Special Angles
1.5 Angles Made By A Transversal
1.6 Transversal Across Two Parallel Lines
1.7 Conditions For Parallelism
6.1 Triangle Angle Relationships
Find the measures of missing angles of triangles
Find the measures of missing remote interior and exterior angles
Evaluating Algebraic Expressions
This document discusses expressions and equations. It defines an expression as not containing an equal sign, while equations do. There are two types of expressions: numerical expressions containing only numbers, and algebraic expressions containing numbers, symbols, and variables. A variable represents an unknown value and can be any letter. The document provides examples of evaluating algebraic expressions by substituting numbers for variables.
GE 4.3 proving triangles congruent 12-2
This document discusses different methods for proving that triangles are congruent: SSS, SAS, ASA, AAS, and HL. It defines congruent polygons as having the same size and shape, meaning all corresponding sides are the same length and all corresponding angles have the same measure. The order of letters in a congruence statement indicates which angles or sides are being shown as congruent to prove the triangles are congruent.
angles of parallel line cut by a transversal line
This document discusses angles formed when parallel lines are cut by a transversal line. It defines key terms like parallel lines, transversal, and describes angle pairs that are formed - alternate interior angles, alternate exterior angles, corresponding angles, interior angles on the same side of the transversal, and vertical angles. It notes that alternate interior angles, alternate exterior angles, and corresponding angles are congruent, while interior angles on the same side of the transversal are supplementary. Vertical angles are always equal.
8 4 Rhombuses, Rectangles, And Squares
This document discusses different types of quadrilaterals (four-sided polygons), including parallelograms, rectangles, rhombuses, and squares. It provides properties to define each shape and instructs how to make a foldable with examples of each quadrilateral type. Key properties include: parallelograms have two pairs of parallel sides; rectangles are parallelograms with four right angles; rhombuses are parallelograms with four congruent sides; squares are rectangles and rhombuses with four right angles and four congruent sides. A Venn diagram compares the properties of these quadrilaterals.
What's hot (20)
Angles formed by parallel lines cut by transversal
Angles formed by parallel lines cut by transversal
Similar to alternate angles
LINES AND ANGLES.pptx
Alternate interior angles are congruent
3. 1 5
4.l m
1. Given
2. Vertical Angles Thm
3. Transitive Property of Congruence
4. Converse of Alternate Interior Angles Theorem
Module 3 geometric relations
This module discusses geometric relationships involving angles formed when parallel lines are cut by a transversal. It covers identifying corresponding angles, alternate interior angles, alternate exterior angles, and angles on the same side of the transversal. Relationships between these angles are that corresponding angles and alternate interior angles are congruent, and angles on the same side of the transversal are supplementary. Examples are provided to demonstrate solving for unknown angle measures using these relationships.
Geometry unit 3.1.3.3
This document provides information about parallel lines and transversals. It defines key terms like parallel lines, transversals, interior and exterior angles. It describes angle relationships that exist between parallel lines cut by a transversal, such as corresponding angles being congruent, alternate interior angles being congruent, same side interior angles being supplementary. Examples are provided to illustrate these concepts and properties. The document also discusses using these properties to find missing angle measures.
8.1 angles 2
This document contains lesson materials on lines and angles including:
- Solving two equations involving variables w and v
- Vocabulary terms related to lines and angles
- Identifying different angle relationships (corresponding angles, interior angles, etc.) when lines are cut by a transversal
- Worked examples of finding missing angle measures using properties of parallel lines
Parallel-Lines-Cut-by-a-Transversal-PPT-1-9-2018.pptx
This document discusses parallel lines and transversals. It defines key terms like parallel lines, transversals, interior and exterior angles. It explains special angle relationships that exist between pairs of angles formed by parallel lines and a transversal, including corresponding angles being congruent, alternate interior/exterior angles being congruent, and same side interior/exterior angles being supplementary. Examples are provided to illustrate these concepts and properties. The document also shows how to use these properties to find missing angle measures.
Special Angles Formed by a Transversal_Angle Pairs
Displays the different pairs of special angles formed when a line intersects 2 other lines at different points
3004 provinglineparral
This document contains a geometry drill with questions about angle relationships and parallel lines. It asks students to identify corresponding angles, same-side interior angles, alternate interior angles, and alternate exterior angles in a diagram. It also contains problems asking students to determine angle measures, state converses of theorems, and identify whether statement justify postulates or theorems. The document aims to help students practice applying concepts related to parallel lines and angle relationships formed by a transversal.
Math 7 geometry 04 angles, parallel lines, and transversals - grade 7
The document discusses angles and parallel lines. It defines parallel lines and transversals, and explains that when a transversal intersects parallel lines, it forms eight angles that can be classified as vertical, corresponding, alternate interior, alternate exterior, adjacent, consecutive interior, and consecutive exterior angles. The document states that if two parallel lines are cut by a transversal, vertical angles, corresponding angles, alternate interior angles, and alternate exterior angles are congruent, while adjacent angles, consecutive interior angles, and consecutive exterior angles are supplementary. An example problem demonstrates finding angle measures given one is known.
Parallel Line Properties
If parallel lines are cut by a transversal, then:
- Corresponding angles are congruent
- Alternate interior angles are congruent
- Alternate exterior angles are congruent
- Interior angles on the same side of the transversal are supplementary
- Exterior angles on the same side of the transversal are supplementary
Parallel-Lines-Cut-by-a-Transversal-PPT-1-9-2018.pptx
This document discusses parallel lines and transversals. It defines parallel lines as lines that do not intersect and introduces several key terms including transversal, interior angles, exterior angles, corresponding angles, alternate interior angles, alternate exterior angles, same side interior angles, and same side exterior angles. It explains special relationships between these angles when lines are parallel, such as alternate and same side interior angles being congruent and supplementary, respectively.
angles formed when two parallel lines are cut by a transversal.ppt
When two parallel lines are cut by a transversal, eight angles are formed that have specific relationships. Corresponding angles are equal, as are alternate interior angles and alternate exterior angles. If corresponding angles are equal when two lines are cut by a transversal, then the lines are parallel. Similarly, if alternate interior angles are equal, then the lines must be parallel. Understanding the angle relationships that result when parallel lines are cut by a transversal allows one to prove whether lines are parallel or determine missing angle measures.
Geometry Section 2-7
This document defines key terms and concepts related to parallel lines and transversals, including:
- A transversal is a line that intersects two other lines at two different points.
- Interior angles are formed between the two lines, while exterior angles are outside the lines.
- Alternate interior angles, corresponding angles, and other angle relationships are defined.
- Examples demonstrate identifying angle relationships and using properties of parallel lines to calculate unknown angle measures.
4 2 & 4-3 parallel lines and transversals
This document defines key terms related to parallel lines and transversals, including transversal, interior angles, exterior angles, alternate interior angles, consecutive interior angles, and corresponding angles. It states the theorems that if two parallel lines are cut by a transversal, then each pair of alternate interior angles, consecutive interior angles, alternate exterior angles, and corresponding angles are congruent.
Know it notebook-chapter3
This document contains a table with geometry vocabulary terms from Chapter 3 including definitions and examples. It lists terms such as alternate angles, parallel lines, perpendicular lines, slope, and the point-slope form of a linear equation. The table is intended to be filled in as readers work through Chapter 3. There are also review questions testing understanding of lines, angles, parallel and perpendicular lines, slopes of lines, and representing lines in the coordinate plane.
PARALLEL and PERPENDICULAR LINES.pptx
1. The document defines and provides examples of different types of lines including perpendicular, intersecting, concurrent, parallel, and skew lines. It also defines perpendicularity.
2. Perpendicular lines intersect to form right angles. If two lines intersect to form right angles at a point, they are perpendicular. The perpendicular bisector of a line segment is the line perpendicular to the segment at its midpoint.
3. Parallel lines never intersect and have the same slope when graphed on a coordinate plane. They are shown with double lines or slanted lines symbols.
Lines and angles
The document defines various types of angles and their relationships. It discusses lines, line segments, and angles. It defines acute, obtuse, right, straight, and reflex angles. It also defines complementary, supplementary, adjacent, linear pairs of angles. Examples are provided to find complementary, supplementary angles and to determine if angles form linear pairs. The document also discusses angles formed when a transversal cuts parallel lines, including corresponding, interior, exterior angles and using these properties to determine if lines are parallel.
Angles Formed by Parallel Lines Cut by a Transversal.pptx
When two parallel lines are cut by a transversal, several pairs of angles are formed with specific relationships. Corresponding angles are angles that have the same relative position on either side of the transversal. Alternate interior angles are interior angles on opposite sides of the transversal. Alternate exterior angles are exterior angles on opposite sides of the transversal. Consecutive interior angles are interior angles next to each other on one side of the transversal.
Geometry 201 unit 3.1
This document discusses lines, angles, and planes. It defines parallel lines, perpendicular lines, skew lines, and parallel planes. It also defines the different types of angles formed by a transversal intersecting two lines, including corresponding angles, alternate interior angles, alternate exterior angles, and same-side interior angles. The document provides examples of identifying types of lines, planes, and angle pairs and classifying angles based on a transversal. It concludes with a quiz to test the understanding of classifying lines, planes, and angle pairs.
Parallel lines Again
This document discusses properties of parallel lines cut by a transversal. It defines key terms like parallel lines, transversal, corresponding angles, alternate interior angles, and alternate exterior angles. It then presents conjectures that corresponding angles, alternate interior angles, and alternate exterior angles are congruent when two parallel lines are cut by a transversal. Examples are given to illustrate these properties and how determining the measure of one angle allows calculating the measures of all other angles formed.
Parallel Lines
This document discusses properties of parallel lines cut by a transversal. It defines key terms like parallel lines, transversal, corresponding angles, alternate interior angles, and alternate exterior angles. It then presents conjectures that corresponding angles, alternate interior angles, and alternate exterior angles are congruent when two parallel lines are cut by a transversal. Examples are given to illustrate these properties and how determining the measure of one angle allows calculating the measures of all other angles formed.
Similar to alternate angles (20)
Parallel-Lines-Cut-by-a-Transversal-PPT-1-9-2018.pptx
Parallel-Lines-Cut-by-a-Transversal-PPT-1-9-2018.pptx
Special Angles Formed by a Transversal_Angle Pairs
Special Angles Formed by a Transversal_Angle Pairs
Math 7 geometry 04 angles, parallel lines, and transversals - grade 7
Math 7 geometry 04 angles, parallel lines, and transversals - grade 7
Parallel-Lines-Cut-by-a-Transversal-PPT-1-9-2018.pptx
Parallel-Lines-Cut-by-a-Transversal-PPT-1-9-2018.pptx
angles formed when two parallel lines are cut by a transversal.ppt
angles formed when two parallel lines are cut by a transversal.ppt
Angles Formed by Parallel Lines Cut by a Transversal.pptx
Angles Formed by Parallel Lines Cut by a Transversal.pptx
Recently uploaded
一比一原版肯特大学毕业证UKC成绩单一模一样
原件一模一样【微信：6496090】【肯特大学毕业证UKC学位证成绩单】【微信：6496090】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信：6496090】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信：6496090】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份【微信：6496090】
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！
办理肯特大学毕业证UKC学位证【微信：6496090 】外观非常精致，由特殊纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理肯特大学毕业证UKC学位证【微信：6496090 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理肯特大学毕业证UKC学位证【微信：6496090 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理肯特大学毕业证UKC学位证【微信：6496090 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。
Divertidamente SLIDE.pptxufururururuhrurid8dj
Hsuehebvdhdueuw8wiiwieih3udud8e8wisbdydvw7wbidj38ehehdheuwjhdiwjwieheheueurhryrurhrgryd7eueue
ARENA - Young adults in the workplace (Knight Moves).pdf
Presentations of Bavo Raeymaekers (Project lead youth unemployment at the City of Antwerp), Suzan Martens (Service designer at Knight Moves) and Adriaan De Keersmaeker (Community manager at Talk to C)
during the 'Arena • Young adults in the workplace' conference hosted by Knight Moves.
一比一原版马里兰大学毕业证(UMD毕业证书)如何办理
学校原件一模一样【微信：6496090】【马里兰大学毕业证(UMD毕业证书)成绩单学位证】【微信：6496090】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信：6496090】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信：6496090】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份【微信：6496090】
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！
办理马里兰大学毕业证(UMD毕业证书)【微信：6496090 】外观非常简单，由纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理马里兰大学毕业证(UMD毕业证书)【微信：6496090 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理马里兰大学毕业证(UMD毕业证书)【微信：6496090 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理马里兰大学毕业证(UMD毕业证书)【微信：6496090 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。
Manual ISH (International Society of Hypertension)
Manual ISH (International Society of Hypertension)
定制美国西雅图城市大学毕业证学历证书原版一模一样
原版一模一样【微信：741003700 】【美国西雅图城市大学毕业证学历证书】【微信：741003700 】学位证，留信认证（真实可查，永久存档）offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原海外各大学 Bachelor Diploma degree, Master Degree Diploma
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
Discovering the Best Indian Architects A Spotlight on Design Forum Internatio...
Discovering the Best Indian Architects A Spotlight on Design Forum Internatio...Designforuminternational
India’s architectural landscape is a vibrant tapestry that weaves together the country's rich cultural heritage and its modern aspirations. From majestic historical structures to cutting-edge contemporary designs, the work of Indian architects is celebrated worldwide. Among the many firms shaping this dynamic field, Design Forum International stands out as a leader in innovative and sustainable architecture. This blog explores some of the best Indian architects, highlighting their contributions and showcasing the most famous architects in India.一比一原版马来西亚世纪大学毕业证成绩单一模一样
原件一模一样【微信：6496090】【马来西亚世纪大学毕业证学位证成绩单】【微信：6496090】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信：6496090】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信：6496090】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份【微信：6496090】
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！
办理马来西亚世纪大学毕业证学位证【微信：6496090 】外观非常精致，由特殊纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理马来西亚世纪大学毕业证学位证【微信：6496090 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理马来西亚世纪大学毕业证学位证【微信：6496090 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理马来西亚世纪大学毕业证学位证【微信：6496090 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。
一比一原版美国哥伦比亚大学毕业证Columbia成绩单一模一样
原件一模一样【微信：6496090】【美国哥伦比亚大学毕业证Columbia学位证成绩单】【微信：6496090】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信：6496090】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信：6496090】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份【微信：6496090】
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！
办理美国哥伦比亚大学毕业证Columbia学位证【微信：6496090 】外观非常精致，由特殊纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理美国哥伦比亚大学毕业证Columbia学位证【微信：6496090 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理美国哥伦比亚大学毕业证Columbia学位证【微信：6496090 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理美国哥伦比亚大学毕业证Columbia学位证【微信：6496090 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。
一比一原版阿肯色大学毕业证(UCSF毕业证书)如何办理
学校原件一模一样【微信：6496090】【阿肯色大学毕业证(UCSF毕业证书)成绩单学位证】【微信：6496090】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信：6496090】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信：6496090】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份【微信：6496090】
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！
办理阿肯色大学毕业证(UCSF毕业证书)【微信：6496090 】外观非常简单，由纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理阿肯色大学毕业证(UCSF毕业证书)【微信：6496090 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理阿肯色大学毕业证(UCSF毕业证书)【微信：6496090 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理阿肯色大学毕业证(UCSF毕业证书)【微信：6496090 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。
一比一原版亚利桑那大学毕业证(UA毕业证书)如何办理
学校原件一模一样【微信：6496090】【亚利桑那大学毕业证(UA毕业证书)成绩单学位证】【微信：6496090】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信：6496090】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信：6496090】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份【微信：6496090】
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！
办理亚利桑那大学毕业证(UA毕业证书)【微信：6496090 】外观非常简单，由纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理亚利桑那大学毕业证(UA毕业证书)【微信：6496090 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理亚利桑那大学毕业证(UA毕业证书)【微信：6496090 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理亚利桑那大学毕业证(UA毕业证书)【微信：6496090 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。
Getting Data Ready for Culture Hack by Neontribe
Sometime in the 2010s, this is how explained how to make data "hackday ready"
原版制作(MDIS毕业证书)新加坡管理发展学院毕业证学位证一模一样
学校原件一模一样【微信：741003700 】《(MDIS毕业证书)新加坡管理发展学院毕业证学位证》【微信：741003700 】学位证，留信认证（真实可查，永久存档）原件一模一样纸张工艺/offer、雅思、外壳等材料/诚信可靠,可直接看成品样本，帮您解决无法毕业带来的各种难题！外壳，原版制作，诚信可靠，可直接看成品样本。行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备。十五年致力于帮助留学生解决难题，包您满意。
本公司拥有海外各大学样板无数，能完美还原。
1:1完美还原海外各大学毕业材料上的工艺：水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠。文字图案浮雕、激光镭射、紫外荧光、温感、复印防伪等防伪工艺。材料咨询办理、认证咨询办理请加学历顾问Q/微741003700
【主营项目】
一.毕业证【q微741003700】成绩单、使馆认证、教育部认证、雅思托福成绩单、学生卡等！
二.真实使馆公证(即留学回国人员证明,不成功不收费)
三.真实教育部学历学位认证（教育部存档！教育部留服网站永久可查）
四.办理各国各大学文凭(一对一专业服务,可全程监控跟踪进度)
如果您处于以下几种情况：
◇在校期间，因各种原因未能顺利毕业……拿不到官方毕业证【q/微741003700】
◇面对父母的压力，希望尽快拿到；
◇不清楚认证流程以及材料该如何准备；
◇回国时间很长，忘记办理；
◇回国马上就要找工作，办给用人单位看；
◇企事业单位必须要求办理的
◇需要报考公务员、购买免税车、落转户口
◇申请留学生创业基金
留信网认证的作用:
1:该专业认证可证明留学生真实身份
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
一比一原版布兰登大学毕业证(BU毕业证书)如何办理
学校原件一模一样【微信：6496090】【布兰登大学毕业证(BU毕业证书)成绩单学位证】【微信：6496090】（留信学历认证永久存档查询）采用学校原版纸张、特殊工艺完全按照原版一比一制作（包括：隐形水印，阴影底纹，钢印LOGO烫金烫银，LOGO烫金烫银复合重叠，文字图案浮雕，激光镭射，紫外荧光，温感，复印防伪）行业标杆！精益求精，诚心合作，真诚制作！多年品质 ,按需精细制作，24小时接单,全套进口原装设备，十五年致力于帮助留学生解决难题，业务范围有加拿大、英国、澳洲、韩国、美国、新加坡，新西兰等学历材料，包您满意。
【业务选择办理准则】
一、工作未确定，回国需先给父母、亲戚朋友看下文凭的情况，办理一份就读学校的毕业证【微信：6496090】文凭即可
二、回国进私企、外企、自己做生意的情况，这些单位是不查询毕业证真伪的，而且国内没有渠道去查询国外文凭的真假，也不需要提供真实教育部认证。鉴于此，办理一份毕业证【微信：6496090】即可
三、进国企，银行，事业单位，考公务员等等，这些单位是必需要提供真实教育部认证的，办理教育部认证所需资料众多且烦琐，所有材料您都必须提供原件，我们凭借丰富的经验，快捷的绿色通道帮您快速整合材料，让您少走弯路。
留信网认证的作用:
1:该专业认证可证明留学生真实身份【微信：6496090】
2:同时对留学生所学专业登记给予评定
3:国家专业人才认证中心颁发入库证书
4:这个认证书并且可以归档倒地方
5:凡事获得留信网入网的信息将会逐步更新到个人身份内，将在公安局网内查询个人身份证信息后，同步读取人才网入库信息
6:个人职称评审加20分
7:个人信誉贷款加10分
8:在国家人才网主办的国家网络招聘大会中纳入资料，供国家高端企业选择人才
→ 【关于价格问题（保证一手价格）
我们所定的价格是非常合理的，而且我们现在做得单子大多数都是代理和回头客户介绍的所以一般现在有新的单子 我给客户的都是第一手的代理价格，因为我想坦诚对待大家 不想跟大家在价格方面浪费时间
对于老客户或者被老客户介绍过来的朋友，我们都会适当给一些优惠。
选择实体注册公司办理，更放心，更安全！我们的承诺：可来公司面谈，可签订合同，会陪同客户一起到教育部认证窗口递交认证材料，客户在教育部官方认证查询网站查询到认证通过结果后付款，不成功不收费！
办理布兰登大学毕业证(BU毕业证书)【微信：6496090 】外观非常简单，由纸质材料制成，上面印有校徽、校名、毕业生姓名、专业等信息。
办理布兰登大学毕业证(BU毕业证书)【微信：6496090 】格式相对统一，各专业都有相应的模板。通常包括以下部分：
校徽：象征着学校的荣誉和传承。
校名:学校英文全称
授予学位：本部分将注明获得的具体学位名称。
毕业生姓名：这是最重要的信息之一，标志着该证书是由特定人员获得的。
颁发日期：这是毕业正式生效的时间，也代表着毕业生学业的结束。
其他信息：根据不同的专业和学位，可能会有一些特定的信息或章节。
办理布兰登大学毕业证(BU毕业证书)【微信：6496090 】价值很高，需要妥善保管。一般来说，应放置在安全、干燥、防潮的地方，避免长时间暴露在阳光下。如需使用，最好使用复印件而不是原件，以免丢失。
综上所述，办理布兰登大学毕业证(BU毕业证书)【微信：6496090 】是证明身份和学历的高价值文件。外观简单庄重，格式统一，包括重要的个人信息和发布日期。对持有人来说，妥善保管是非常重要的。
Practical eLearning Makeovers for Everyone
Welcome to Practical eLearning Makeovers for Everyone. In this presentation, we’ll take a look at a bunch of easy-to-use visual design tips and tricks. And we’ll do this by using them to spruce up some eLearning screens that are in dire need of a new look.
Heuristics Evaluation - How to Guide.pdf
This guide helps identify potential issues related to navigation, clarity, consistency, and other factors that can affect user experience.
Recently uploaded (20)
Introduction to User experience design for beginner
Introduction to User experience design for beginner
ARENA - Young adults in the workplace (Knight Moves).pdf
ARENA - Young adults in the workplace (Knight Moves).pdf
Manual ISH (International Society of Hypertension)
Manual ISH (International Society of Hypertension)
Discovering the Best Indian Architects A Spotlight on Design Forum Internatio...
Discovering the Best Indian Architects A Spotlight on Design Forum Internatio...
alternate angles
- 1. PRESENTATION TO PROOF THAT ALTERNATE ANGLES ARE EQUAL
- 2. ALTERNATE ANGLES: Alternate Exterior Angles: Nonadjacent exterior angles that lie on opposite sides of the transversal. THE ALTERNTE ANGLES ARE OF 2 TYPES: Alternate Interior Angles: Nonadjacent interior angles that lie on opposite sides of the transversal.
- 3. Alternate Interior 3 and 7 2 and 6 1 2 3 4 5 6 7 8 t
- 4. Alternate Exterior 5 and 1 4 and 8 1 2 3 4 5 6 7 8 t
- 5. GIVEN: LINE SEGMENT L LL M AND BOTH ARE INTERSECTED BY A LINE SEGMENT N. TO PROOVE: c= b and a= d. PROOF: c= 1 (vertically opposite agles) …..(1) 1= b (corresponding angles) …….(2) From equatin (1) and equation (2) , we conclude that: 1 Alternate angles L M N
- 7. ALTERNATE EXTERIOR ANGLES Name the angle relationship Are they congruent or supplementary? Find the value of x 125 t 5x 5x = 125 5 5 x = 25
- 8. Alternate Interior Angles • Name the angle relationship • Are they congruent or supplementary? • Find the value of x 3x t 2x + 20 20 = x 2x + 20 = 3x - 2x - 2x
- 10. SUBMIITED BY: SHEENAM 9TH KAVERI 18 SUBMITTEDTO: MRS. MEENU MAM