TechMathI - 5.5 - Special Parallelograms
•Download as PPT, PDF•
1 like•601 views
1. The document discusses different types of quadrilaterals including trapezoids, parallelograms, rectangles, squares, and rhombuses. 2. It provides steps to identify these shapes based on their properties like the number of parallel sides and whether the angles are right angles or the sides are congruent. 3. Tests are described to determine if a quadrilateral is a parallelogram based on properties like opposite sides being parallel and congruent.
Report
Share
Report
Share
![Bell Ringer ,[object Object],[object Object],[object Object],[object Object],x = 140° x = 150° M N R P 120° 30° x° 70° 30° x°](https://image.slidesharecdn.com/5-5specialparallelograms-100902112400-phpapp01/85/TechMathI-5-5-Special-Parallelograms-1-320.jpg)
Recommended
Law of Cosines Part 2
The document contains examples of right and non-right triangles with labeled sides of various lengths and angles. For right triangles, sides c and a are given as 10 cm and 8 cm respectively, with b being solved for. For non-right triangles, sides are given with the angle between them. The examples are presented with labeling to work through properties of triangles.
Law of Cosines Part 6
The document contains instructions and diagrams for solving several triangle problems. It lists side lengths and angle measures, directs the reader to find unspecified values, and check their work. Triangles are depicted with labeled angles and sides of various sizes and orientations, with notes about real-world applications of triangle properties and an upcoming lesson on the Law of Sines.
PowerPoint Presentation
The document is a PowerPoint presentation submitted by Shiny Varghese for a mathematics class. It contains two problems - the first asks to draw triangle ABC with sides of 4cm, 5cm, and 6cm, and then draw another triangle of the same area with one side being 4cm. The second problem asks to draw triangle ABC and then draw a different triangle of the same area with sides of 6cm and 7cm.
Lecture 16 SERIES
The document covers topics on series, summation notation, computing summations, arithmetic series, geometric series, and finding the sum of terms for different series. It includes definitions, examples, exercises and solutions related to summations, arithmetic series, and geometric series.
Snakes and Ladders Fitness Game
This document describes the rules for a game involving exercise moves. Players take turns rolling dice to move along a game board, climbing ladders or sliding down snakes. When landing on these spaces, the player must perform the corresponding exercise before advancing. The first player to exactly land on the finish square wins, while rolling a 6 allows an extra turn. The winning player then chooses a forfeit exercise for the losers to complete. The game includes three difficulty levels with increasing exercise times and repetitions.
Geo 3.2 notes_parallel_converse
This document reviews different angle pairs that are formed when two lines intersect or are parallel, including corresponding angles, alternate interior angles, consecutive interior angles, alternate exterior angles, and vertical angles. It provides examples of using these angle relationships to determine if lines are parallel or to find the measure of unknown angles. The last pages discuss writing the converses of the angle theorems and using congruent or supplementary angles to prove that two lines are parallel. Students are assigned problems applying these concepts for homework.
Algebra Expressions and Equations
This document provides an introduction to expressions and equations in Algebra I. It explains that expressions do not contain equals signs, while equations do. Students will practice writing verbal expressions and equations from algebraic forms, and vice versa. They will learn key words associated with addition, subtraction, multiplication, division, powers, and the equals sign. The homework is to complete worksheet 1-1 and bring a picture for a class board.
Algebraic expression
Algebra is a branch of mathematics that uses letters and symbols to represent numbers and quantities in expressions and equations. Key terms in algebra include variables, which can represent different numbers; replacement sets, which define the possible values a variable can take; and constants, which always represent the same number. Algebraic expressions combine variables, constants, and operation symbols using grouping symbols and relationship symbols to represent a mathematical relationship between quantities.
Recommended
Law of Cosines Part 2
The document contains examples of right and non-right triangles with labeled sides of various lengths and angles. For right triangles, sides c and a are given as 10 cm and 8 cm respectively, with b being solved for. For non-right triangles, sides are given with the angle between them. The examples are presented with labeling to work through properties of triangles.
Law of Cosines Part 6
The document contains instructions and diagrams for solving several triangle problems. It lists side lengths and angle measures, directs the reader to find unspecified values, and check their work. Triangles are depicted with labeled angles and sides of various sizes and orientations, with notes about real-world applications of triangle properties and an upcoming lesson on the Law of Sines.
PowerPoint Presentation
The document is a PowerPoint presentation submitted by Shiny Varghese for a mathematics class. It contains two problems - the first asks to draw triangle ABC with sides of 4cm, 5cm, and 6cm, and then draw another triangle of the same area with one side being 4cm. The second problem asks to draw triangle ABC and then draw a different triangle of the same area with sides of 6cm and 7cm.
Lecture 16 SERIES
The document covers topics on series, summation notation, computing summations, arithmetic series, geometric series, and finding the sum of terms for different series. It includes definitions, examples, exercises and solutions related to summations, arithmetic series, and geometric series.
Snakes and Ladders Fitness Game
This document describes the rules for a game involving exercise moves. Players take turns rolling dice to move along a game board, climbing ladders or sliding down snakes. When landing on these spaces, the player must perform the corresponding exercise before advancing. The first player to exactly land on the finish square wins, while rolling a 6 allows an extra turn. The winning player then chooses a forfeit exercise for the losers to complete. The game includes three difficulty levels with increasing exercise times and repetitions.
Geo 3.2 notes_parallel_converse
This document reviews different angle pairs that are formed when two lines intersect or are parallel, including corresponding angles, alternate interior angles, consecutive interior angles, alternate exterior angles, and vertical angles. It provides examples of using these angle relationships to determine if lines are parallel or to find the measure of unknown angles. The last pages discuss writing the converses of the angle theorems and using congruent or supplementary angles to prove that two lines are parallel. Students are assigned problems applying these concepts for homework.
Algebra Expressions and Equations
This document provides an introduction to expressions and equations in Algebra I. It explains that expressions do not contain equals signs, while equations do. Students will practice writing verbal expressions and equations from algebraic forms, and vice versa. They will learn key words associated with addition, subtraction, multiplication, division, powers, and the equals sign. The homework is to complete worksheet 1-1 and bring a picture for a class board.
Algebraic expression
Algebra is a branch of mathematics that uses letters and symbols to represent numbers and quantities in expressions and equations. Key terms in algebra include variables, which can represent different numbers; replacement sets, which define the possible values a variable can take; and constants, which always represent the same number. Algebraic expressions combine variables, constants, and operation symbols using grouping symbols and relationship symbols to represent a mathematical relationship between quantities.
Subset of a line
The document discusses the subsets of a line in geometry, which are line segments and rays. A line segment begins at one point and ends at another, making it finite. A ray starts at a point and extends infinitely in one direction. Lines are important in geometry as the intersection of two planes, and mathematicians break lines down into subsets like line segments and rays to simplify complex geometric problems.
Algebraic expressions
This document provides an overview of algebraic expressions. It defines variables and algebraic expressions, and explains that expressions can be evaluated when the variable is defined. Examples are given to show how expressions represent relationships between quantities. Words that indicate addition, subtraction, multiplication and division are listed. Practice problems are included to write expressions for word phrases and situations. The key aspects covered are variables, expressions, evaluating expressions, and writing expressions from word problems.
Basic Algebra Ppt 1.1
The document introduces key concepts in algebra including variables, constants, types of numbers (counting, integers, rational, irrational, real), graphs, averages, and positive and negative numbers. It provides examples and guidelines for understanding these concepts. Variables represent quantities that can vary, while constants represent fixed values. Different number sets are explained and visualized on a number line. Averages are calculated by adding values and dividing by the total count. Positive numbers are greater than zero, while negative numbers are less than zero.
algebraic expression class VIII
The document provides a lesson plan for teaching algebraic expressions and identities to 8th grade students. It outlines objectives to help students understand identities in algebraic expressions, the relationship between algebra, geometry and arithmetic, and how to apply identities to solve problems. Example activities are presented to show representing algebraic expressions geometrically and applying identities to evaluate expressions and arithmetic problems. Key identities introduced are (a + b)2, (a - b)2, and (a + b)(a - b). Students are given practice problems to solve using the identities.
Variables & Expressions
The document discusses key concepts in algebra including variables, algebraic expressions, factors, products, powers, bases, and exponents. It provides examples of translating verbal expressions to algebraic expressions. Some key points covered are:
- Variables represent unspecified numbers in algebraic expressions
- Algebraic expressions consist of numbers, variables, and arithmetic operations
- Factors are quantities being multiplied and their product is called the product
- Exponents indicate the number of times a base is used as a factor
- It is necessary to translate verbal expressions to algebraic forms using appropriate math symbols
The 7 step problem solving methodology
The 7-Step Problem Solving Methodology outlines a standardized process for exploring problems, understanding root causes, and implementing effective solutions. The 7 steps include: 1) identifying the problem, 2) determining and ranking causes, 3) taking short-term action, 4) gathering data and designing tests, 5) conducting tests, analyzing data, and selecting a solution, 6) planning, implementing, and fail-safing the solution, and 7) measuring, evaluating, and recognizing the team. The methodology provides a disciplined approach for solving problems where the solution is not obvious.
BUSINESS QUIZ -Round 1
The document provides a business quiz with 16 multiple choice questions covering topics such as companies that coined economic terms, automobile companies, airlines, technology companies, banks, and consumer brands. It tests knowledge of companies like Goldman Sachs, Tata, Bombay Stock Exchange, HP, Rolls Royce, KFC, and banks like SBI and HDFC. The questions cover industries, products, founding details and other notable business facts.
Parallel lines and transversals
1. The document discusses angles formed when lines are intersected by a transversal line.
2. It defines types of angles formed, including corresponding angles, alternate interior/exterior angles, and consecutive interior/exterior angles.
3. Examples are provided to demonstrate identifying angle types and using angle properties involving parallel lines cut by a transversal.
2.8.5 Coordinate Plane Quads
This document discusses classifying quadrilaterals based on their coordinates. It explains that to identify special types of quadrilaterals like parallelograms, rectangles, rhombi, squares, trapezoids, and kites, one can use the distance and slope formulas to determine if sides are parallel or congruent. An example problem demonstrates using the formulas to show a quadrilateral with given coordinates is a square.
COT3_QUARTER 3_MATHEMATICS 9 hhhhhh.pptx
A quadrilateral is a parallelogram if:
its opposite angles are equal, or.
its opposite sides are equal, or.
one pair of opposite sides are equal and parallel, or.
its diagonals bisect each other.
GRADE 4: KINDS OF QUADRILATERALS
The document provides guidelines for proper online meeting etiquette such as arriving to the meeting early, dressing appropriately, keeping your camera on, muting your mic when not speaking, listening attentively, and using the chat or raise hand features to contribute. It emphasizes respecting others and following instructions from the teacher. The document also includes questions about shapes asking students to identify different types of triangles and quadrilaterals based on their properties.
2.8.5 Coordinate Plane Quads
Recognize special quadrilaterals from their graphs
Use the distance and slope formulas to show whether a quadrilateral is a special quadrilateral
Cross word by shreshth bhardwaj
The document contains a crossword puzzle with clues provided for words to fill in the grid. The crossword grid has 16 squares across and 16 squares down. Clues are provided both across and down the grid and include definitions for geometric shapes, math and science terms, and other words.
2.7.6 Coordinate Plane Quads
The document discusses classifying quadrilaterals using their coordinate graphs. It explains that to identify special types of quadrilaterals, one can use the distance and slope formulas to check if sides are parallel or congruent. An example problem classifies a quadrilateral as a square by showing its four right angles using slopes and that all four sides have equal lengths using the distance formula.
Geometry Review Lesson
This document provides a geometry lesson reviewing angle rules and terms. It includes 14 rules about angles, triangles, and polygons. Examples demonstrate applying the rules to find missing angle measures. Key terms defined include types of angles, triangle angle sums, exterior angles, and polygon interior angle sums. The document aims to reinforce fundamental geometry concepts through examples and practice problems.
Chapter 8.1 8.4 review
This document contains a daily homework quiz on triangles, followed by review questions testing knowledge of geometry vocabulary and properties of angles, lines, polygons. It concludes with exercises identifying pairs of angles and finding missing angle measures in diagrams.
Chapter 8.1 8.4 review
This document contains a daily homework quiz on triangles followed by a review of geometry vocabulary and concepts related to lines, angles, and polygons. It includes questions about triangle types, angle measures in diagrams, and identifying pairs of special angle relationships. The review covers terms like acute angles, perpendicular lines, polygons, and properties of quadrilaterals.
Polygons converted (1)
This document provides information about different types of polygons:
- Polygons are closed figures made of line segments with a minimum of 3 sides. Common polygons include triangles, quadrilaterals, pentagons, hexagons, etc.
- Quadrilaterals include kites, trapezoids, parallelograms, rhombuses, rectangles, and squares. Their properties depend on whether their sides and angles are equal.
- Theorems relate to properties of parallelograms like opposite sides being parallel and equal, diagonals bisecting each other, and the sum of interior angles being 360 degrees.
- Practice questions test understanding of polygon classification, properties of quadrilaterals, and applying
Quadrilaterals grade 7
The document defines different types of triangles and quadrilaterals. It discusses the properties of triangles based on their angles and sides. It then defines different types of quadrilaterals such as parallelograms, rectangles, rhombuses, squares, trapezoids, and trapeziums. It discusses their properties including opposite sides, opposite angles, diagonals, and angle sums. Examples of each shape are provided and classified based on their properties. Statements about relationships between the different shapes are classified as true or false.
COT-1-QUADRILATERALS THAT ARE PARALLELOGRAM.pptx
1) The document describes a 9th grade mathematics classroom observation on geometry and properties of parallelograms. Students were asked to measure sides and angles of a drawn parallelogram and record their findings.
2) Key properties of parallelograms are reviewed, including opposite sides being congruent and parallel, opposite angles being congruent, and diagonals bisecting each other.
3) For a learning task, students are instructed to draw and measure a parallelogram, then make conjectures about measurements and properties.
Week 6 parallelogram
This document discusses different types of quadrilaterals including parallelograms, rectangles, squares, rhombuses, and trapezoids. It provides definitions and properties of each shape. Specifically for parallelograms, it outlines four key properties: opposite sides are parallel and congruent, opposite angles are congruent, and diagonals bisect each other. Examples are given to demonstrate using these properties to determine missing angle measures, side lengths, and whether a shape satisfies the definition of a parallelogram. Rectangles and squares are defined as special types of parallelograms with additional properties like right angles.
8.4 properties of rhombuses, rectangles, and squares
This document discusses properties of rhombuses, rectangles, and squares. It contains examples of classifying quadrilaterals as rhombuses or rectangles based on given properties. One example asks whether the diagonals of a window opening form a rectangle. The document also includes guided practice problems asking students to determine whether statements are always or sometimes true of certain quadrilaterals or to classify shapes. Key theorems discussed are that opposite angles of parallelograms are congruent, diagonals of rectangles are congruent and bisect each other, and properties used to define rhombuses, rectangles and squares.
More Related Content
Viewers also liked
Subset of a line
The document discusses the subsets of a line in geometry, which are line segments and rays. A line segment begins at one point and ends at another, making it finite. A ray starts at a point and extends infinitely in one direction. Lines are important in geometry as the intersection of two planes, and mathematicians break lines down into subsets like line segments and rays to simplify complex geometric problems.
Algebraic expressions
This document provides an overview of algebraic expressions. It defines variables and algebraic expressions, and explains that expressions can be evaluated when the variable is defined. Examples are given to show how expressions represent relationships between quantities. Words that indicate addition, subtraction, multiplication and division are listed. Practice problems are included to write expressions for word phrases and situations. The key aspects covered are variables, expressions, evaluating expressions, and writing expressions from word problems.
Basic Algebra Ppt 1.1
The document introduces key concepts in algebra including variables, constants, types of numbers (counting, integers, rational, irrational, real), graphs, averages, and positive and negative numbers. It provides examples and guidelines for understanding these concepts. Variables represent quantities that can vary, while constants represent fixed values. Different number sets are explained and visualized on a number line. Averages are calculated by adding values and dividing by the total count. Positive numbers are greater than zero, while negative numbers are less than zero.
algebraic expression class VIII
The document provides a lesson plan for teaching algebraic expressions and identities to 8th grade students. It outlines objectives to help students understand identities in algebraic expressions, the relationship between algebra, geometry and arithmetic, and how to apply identities to solve problems. Example activities are presented to show representing algebraic expressions geometrically and applying identities to evaluate expressions and arithmetic problems. Key identities introduced are (a + b)2, (a - b)2, and (a + b)(a - b). Students are given practice problems to solve using the identities.
Variables & Expressions
The document discusses key concepts in algebra including variables, algebraic expressions, factors, products, powers, bases, and exponents. It provides examples of translating verbal expressions to algebraic expressions. Some key points covered are:
- Variables represent unspecified numbers in algebraic expressions
- Algebraic expressions consist of numbers, variables, and arithmetic operations
- Factors are quantities being multiplied and their product is called the product
- Exponents indicate the number of times a base is used as a factor
- It is necessary to translate verbal expressions to algebraic forms using appropriate math symbols
The 7 step problem solving methodology
The 7-Step Problem Solving Methodology outlines a standardized process for exploring problems, understanding root causes, and implementing effective solutions. The 7 steps include: 1) identifying the problem, 2) determining and ranking causes, 3) taking short-term action, 4) gathering data and designing tests, 5) conducting tests, analyzing data, and selecting a solution, 6) planning, implementing, and fail-safing the solution, and 7) measuring, evaluating, and recognizing the team. The methodology provides a disciplined approach for solving problems where the solution is not obvious.
BUSINESS QUIZ -Round 1
The document provides a business quiz with 16 multiple choice questions covering topics such as companies that coined economic terms, automobile companies, airlines, technology companies, banks, and consumer brands. It tests knowledge of companies like Goldman Sachs, Tata, Bombay Stock Exchange, HP, Rolls Royce, KFC, and banks like SBI and HDFC. The questions cover industries, products, founding details and other notable business facts.
Viewers also liked (7)
Similar to TechMathI - 5.5 - Special Parallelograms
Parallel lines and transversals
1. The document discusses angles formed when lines are intersected by a transversal line.
2. It defines types of angles formed, including corresponding angles, alternate interior/exterior angles, and consecutive interior/exterior angles.
3. Examples are provided to demonstrate identifying angle types and using angle properties involving parallel lines cut by a transversal.
2.8.5 Coordinate Plane Quads
This document discusses classifying quadrilaterals based on their coordinates. It explains that to identify special types of quadrilaterals like parallelograms, rectangles, rhombi, squares, trapezoids, and kites, one can use the distance and slope formulas to determine if sides are parallel or congruent. An example problem demonstrates using the formulas to show a quadrilateral with given coordinates is a square.
COT3_QUARTER 3_MATHEMATICS 9 hhhhhh.pptx
A quadrilateral is a parallelogram if:
its opposite angles are equal, or.
its opposite sides are equal, or.
one pair of opposite sides are equal and parallel, or.
its diagonals bisect each other.
GRADE 4: KINDS OF QUADRILATERALS
The document provides guidelines for proper online meeting etiquette such as arriving to the meeting early, dressing appropriately, keeping your camera on, muting your mic when not speaking, listening attentively, and using the chat or raise hand features to contribute. It emphasizes respecting others and following instructions from the teacher. The document also includes questions about shapes asking students to identify different types of triangles and quadrilaterals based on their properties.
2.8.5 Coordinate Plane Quads
Recognize special quadrilaterals from their graphs
Use the distance and slope formulas to show whether a quadrilateral is a special quadrilateral
Cross word by shreshth bhardwaj
The document contains a crossword puzzle with clues provided for words to fill in the grid. The crossword grid has 16 squares across and 16 squares down. Clues are provided both across and down the grid and include definitions for geometric shapes, math and science terms, and other words.
2.7.6 Coordinate Plane Quads
The document discusses classifying quadrilaterals using their coordinate graphs. It explains that to identify special types of quadrilaterals, one can use the distance and slope formulas to check if sides are parallel or congruent. An example problem classifies a quadrilateral as a square by showing its four right angles using slopes and that all four sides have equal lengths using the distance formula.
Geometry Review Lesson
This document provides a geometry lesson reviewing angle rules and terms. It includes 14 rules about angles, triangles, and polygons. Examples demonstrate applying the rules to find missing angle measures. Key terms defined include types of angles, triangle angle sums, exterior angles, and polygon interior angle sums. The document aims to reinforce fundamental geometry concepts through examples and practice problems.
Chapter 8.1 8.4 review
This document contains a daily homework quiz on triangles, followed by review questions testing knowledge of geometry vocabulary and properties of angles, lines, polygons. It concludes with exercises identifying pairs of angles and finding missing angle measures in diagrams.
Chapter 8.1 8.4 review
This document contains a daily homework quiz on triangles followed by a review of geometry vocabulary and concepts related to lines, angles, and polygons. It includes questions about triangle types, angle measures in diagrams, and identifying pairs of special angle relationships. The review covers terms like acute angles, perpendicular lines, polygons, and properties of quadrilaterals.
Polygons converted (1)
This document provides information about different types of polygons:
- Polygons are closed figures made of line segments with a minimum of 3 sides. Common polygons include triangles, quadrilaterals, pentagons, hexagons, etc.
- Quadrilaterals include kites, trapezoids, parallelograms, rhombuses, rectangles, and squares. Their properties depend on whether their sides and angles are equal.
- Theorems relate to properties of parallelograms like opposite sides being parallel and equal, diagonals bisecting each other, and the sum of interior angles being 360 degrees.
- Practice questions test understanding of polygon classification, properties of quadrilaterals, and applying
Quadrilaterals grade 7
The document defines different types of triangles and quadrilaterals. It discusses the properties of triangles based on their angles and sides. It then defines different types of quadrilaterals such as parallelograms, rectangles, rhombuses, squares, trapezoids, and trapeziums. It discusses their properties including opposite sides, opposite angles, diagonals, and angle sums. Examples of each shape are provided and classified based on their properties. Statements about relationships between the different shapes are classified as true or false.
COT-1-QUADRILATERALS THAT ARE PARALLELOGRAM.pptx
1) The document describes a 9th grade mathematics classroom observation on geometry and properties of parallelograms. Students were asked to measure sides and angles of a drawn parallelogram and record their findings.
2) Key properties of parallelograms are reviewed, including opposite sides being congruent and parallel, opposite angles being congruent, and diagonals bisecting each other.
3) For a learning task, students are instructed to draw and measure a parallelogram, then make conjectures about measurements and properties.
Week 6 parallelogram
This document discusses different types of quadrilaterals including parallelograms, rectangles, squares, rhombuses, and trapezoids. It provides definitions and properties of each shape. Specifically for parallelograms, it outlines four key properties: opposite sides are parallel and congruent, opposite angles are congruent, and diagonals bisect each other. Examples are given to demonstrate using these properties to determine missing angle measures, side lengths, and whether a shape satisfies the definition of a parallelogram. Rectangles and squares are defined as special types of parallelograms with additional properties like right angles.
8.4 properties of rhombuses, rectangles, and squares
This document discusses properties of rhombuses, rectangles, and squares. It contains examples of classifying quadrilaterals as rhombuses or rectangles based on given properties. One example asks whether the diagonals of a window opening form a rectangle. The document also includes guided practice problems asking students to determine whether statements are always or sometimes true of certain quadrilaterals or to classify shapes. Key theorems discussed are that opposite angles of parallelograms are congruent, diagonals of rectangles are congruent and bisect each other, and properties used to define rhombuses, rectangles and squares.
8.4 polygons 2
This document contains math problems and questions about polygons and angles from a geometry lesson. It includes two problems finding the measure of an unknown angle (x) using the other given angles. There are also essential questions about identifying different types of triangles and properties of parallel lines in real life applications. Daily homework includes finding sums of angle measures and individual angles for different regular polygons.
Obj. 27 Special Parallelograms
Prove and apply properties of rectangles, rhombuses, and squares.
Use properties of rectangles, rhombuses, and squares to solve problems.
Prove that a given quadrilateral is a rectangle, rhombus, or square.
8.4 notes
1. A quadrilateral is a parallelogram if both pairs of opposite sides are parallel and equal in length.
2. The diagonals of a parallelogram bisect each other.
3. For a quadrilateral to be a parallelogram, the value of x must make both pairs of opposite sides parallel and equal in length.
Week 6 - Parallelogram - PART 2.pptx
This document discusses properties of parallelograms, rectangles, rhombi, and squares. It defines these shapes and lists their key properties, such as opposite sides being parallel and equal lengths. Examples are given of finding missing values and angles when given information about the dimensions or angles of these quadrilaterals. The final slides reference additional math textbooks for more information.
Geometry 2 polygons
This document defines and provides key information about different types of polygons. It discusses polygons in general, then focuses on quadrilaterals. It defines triangles, quadrilaterals, pentagons, hexagons, heptagons, octagons, nonagons, and decagons. It then discusses properties of special quadrilaterals including parallelograms, rectangles, squares, rhombi, kites, and trapezoids. It provides the sufficient conditions to prove each type of polygon or quadrilateral and includes examples.
Similar to TechMathI - 5.5 - Special Parallelograms (20)
8.4 properties of rhombuses, rectangles, and squares
8.4 properties of rhombuses, rectangles, and squares
More from lmrhodes
Final review 1
This geometry review document contains questions about various geometry topics including:
1. Finding measures of angles and classifying angle relationships
2. Solving equations involving geometric variables
3. Applying properties of triangles including the Pythagorean theorem and triangle classification
4. Finding sums of interior and exterior angles of polygons
5. Identifying and applying properties of similar, congruent, and special right triangles
The questions range in difficulty from basic skills to applying multiple concepts and theorems.
Polynomial review centers
The document contains instructions for five math centers focused on polynomial operations: adding, subtracting, distributing, and multiplying polynomials. Students are directed to copy problems from each center and show their work. Solution banks with ordered terms are provided for students to write their answers.
TechMathI - Point slope form
The document provides examples and explanations of finding the rate of change and linear equations from tables of data points and given slopes and points. It includes examples of using the point-slope formula to write linear equations from a given point and slope, as well as examples of writing linear equations from two given points. Students are prompted to write linear equations for several examples.
TechMathI - Standard form
The document discusses finding the x-intercept and y-intercept of linear equations by setting either x or y equal to 0 and solving for the other variable. It provides examples of finding the intercepts of equations and graphing the resulting point coordinates. Students are asked to practice finding and graphing intercepts for several equations.
TechMathI - Slope intercept form
This document discusses linear equations and slope-intercept form. It provides examples of:
1) Finding the slope and y-intercept of linear equations in slope-intercept form like y = 4x + 2.
2) Writing equations of lines given the slope and y-intercept, such as an equation with m = 3 and y-intercept of 7.
3) Finding the slope and y-intercept from two points on a line, then writing the equation in slope-intercept form.
TechMathI - Rate of change and slope
The document contains information about rates of change, slope, and lines. It includes examples of calculating rates of change from tables of data and slope from ordered pairs using the slope formula. It discusses horizontal and vertical lines having slopes of 0 and undefined, and positive and negative slopes indicating the direction a line slants.
TechMathI - Ch6 Test
This document contains a 36 question multiple choice test on various math concepts including:
- Calculating unit rates
- Solving proportions
- Finding percentages of quantities
- Calculating percent increases and decreases
The questions require skills like setting up and solving proportions, unit conversion, percent calculation, and percent change.
TechMathI - Ch6 Review
This document contains 30 math word problems testing foundations concepts like rates, proportions, percentages, and percent change. The problems can be solved by setting up and solving proportions, finding unit rates, calculating percentages, or determining percent change between two amounts. Key information includes rates, costs, percentages, initial and final amounts, and measurements involved in rate and percent problems.
TechMathI - Ch6 Quiz
This document contains a 15 question quiz on math concepts like proportions, ratios, rates, similar triangles, and unit conversions. The questions require setting up and solving proportions, finding unit rates, calculating rates per hour, and using similar triangles to determine unknown lengths.
TechMathI - 6.2 - Similarity examples
Similar figures are two-dimensional shapes that have the same shape but can differ in size. To be similar, the corresponding sides of the figures must be proportional, meaning they differ by a constant scale factor. Similar figures have the same angle measures but different side lengths. Problems involving similar figures can be solved by identifying the scale factor between corresponding sides and using proportional reasoning.
TechMathI - 6.2 - Similarity
This document contains 4 math word problems involving similar triangles and scaling factors to determine unknown side lengths or heights. It also provides examples of finding the height of objects like trees using the similarity of triangles formed by shadows of objects of known height.
TechMathI - 6.1 - Ratio and Proportion
1. The document provides examples of ratios, proportions, rates, unit rates, and examples of setting up and solving proportions using cross multiplication.
2. It includes multi-step proportion examples involving fractions with variables in both the numerator and denominator.
3. Additional practice problems are provided for readers to try setting up and solving different types of proportions.
TechMathI - Ch5 Test
This document contains a 33 question test on polygons and their properties. The test covers identifying polygons by name and type, finding missing side lengths and angle measures of polygons, calculating sums of interior and exterior angles, determining which statements about polygon properties are true or false, and identifying polygons based on given properties. The test includes multiple choice, true/false, and short answer questions.
TechMathI - Ch5 Vocab Quiz
This document is a vocabulary quiz that tests knowledge of polygon terms. It contains 17 multiple choice questions that ask the learner to match polygon names like triangle, square, pentagon, and hexagon with their definitions relating to number of sides, side properties, angles, and geometric shapes. The word bank at the bottom provides additional polygon shape names as potential answers.
TechMathI - 5.6 - Trapezoids
This document discusses properties and definitions related to trapezoids. It defines a trapezoid as a quadrilateral with one pair of parallel sides, and defines an isosceles trapezoid as one where the non-parallel sides are congruent. It states that the diagonals of an isosceles trapezoid are congruent and that the median of any trapezoid is parallel to the bases and has a length that is half the sum of the base lengths. It includes examples of finding missing side lengths using the median property.
TechMathI - 5.4 - Parallelograms
This document provides examples and practice problems for identifying angle measures in parallelograms. It gives the side lengths of parallelogram ABCD and asks to find the three other angle measures. It also provides a practice problem to find missing angle measures for an additional parallelogram.
TechMathI - 5.3 - Properties of Quadrilaterals
This document provides information about different types of quadrilaterals (four-sided polygons) through a foldable activity. It defines and lists properties of parallelograms, rectangles, rhombuses, squares, and trapezoids. Key quadrilaterals are distinguished by their parallel sides, right angles, and congruent sides or angles. The foldable allows students to draw and label examples of each quadrilateral type.
TechMathI - 5.2 - Angles of Polygons
This document contains information about polygons, including:
1. Formulas for calculating the sum of interior angles and exterior angles of polygons. The interior angle sum is (n-2)×180° and the exterior angle sum is 360°.
2. Examples of calculating interior and exterior angles for regular polygons with specific numbers of sides. Interior angles decrease and exterior angles increase as the number of sides increases.
3. Practice problems involving calculating unknown interior and exterior angles of polygons using the angle sum properties.
More from lmrhodes (20)
Recently uploaded
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS Template 2023-2024 by: Irene S. Rueco
The History of Stoke Newington Street Names
Presented at the Stoke Newington Literary Festival on 9th June 2024
www.StokeNewingtonHistory.com
BBR 2024 Summer Sessions Interview Training
Qualitative research interview training by Professor Katrina Pritchard and Dr Helen Williams
Advanced Java[Extra Concepts, Not Difficult].docx
This is part 2 of my Java Learning Journey. This contains Hashing, ArrayList, LinkedList, Date and Time Classes, Calendar Class and more.
clinical examination of hip joint (1).pdf
described clinical examination all orthopeadic conditions .
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective UpskillingExcellence Foundation for South Sudan
Strategies for Effective Upskilling is a presentation by Chinwendu Peace in a Your Skill Boost Masterclass organisation by the Excellence Foundation for South Sudan on 08th and 09th June 2024 from 1 PM to 3 PM on each day.Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptxMohd Adib Abd Muin, Senior Lecturer at Universiti Utara Malaysia
This slide is special for master students (MIBS & MIFB) in UUM. Also useful for readers who are interested in the topic of contemporary Islamic banking.
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)Academy of Science of South Africa
A workshop hosted by the South African Journal of Science aimed at postgraduate students and early career researchers with little or no experience in writing and publishing journal articles.Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...National Information Standards Organization (NISO)
This presentation was provided by Steph Pollock of The American Psychological Association’s Journals Program, and Damita Snow, of The American Society of Civil Engineers (ASCE), for the initial session of NISO's 2024 Training Series "DEIA in the Scholarly Landscape." Session One: 'Setting Expectations: a DEIA Primer,' was held June 6, 2024.Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
Let’s explore the intersection of technology and equity in the final session of our DEI series. Discover how AI tools, like ChatGPT, can be used to support and enhance your nonprofit's DEI initiatives. Participants will gain insights into practical AI applications and get tips for leveraging technology to advance their DEI goals.
Recently uploaded (20)
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
RPMS TEMPLATE FOR SCHOOL YEAR 2023-2024 FOR TEACHER 1 TO TEACHER 3
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Your Skill Boost Masterclass: Strategies for Effective Upskilling
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
Chapter 4 - Islamic Financial Institutions in Malaysia.pptx
South African Journal of Science: Writing with integrity workshop (2024)
South African Journal of Science: Writing with integrity workshop (2024)
Liberal Approach to the Study of Indian Politics.pdf
Liberal Approach to the Study of Indian Politics.pdf
Digital Artefact 1 - Tiny Home Environmental Design
Digital Artefact 1 - Tiny Home Environmental Design
Pride Month Slides 2024 David Douglas School District
Pride Month Slides 2024 David Douglas School District
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Pollock and Snow "DEIA in the Scholarly Landscape, Session One: Setting Expec...
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
Executive Directors Chat Leveraging AI for Diversity, Equity, and Inclusion
TechMathI - 5.5 - Special Parallelograms
- 2. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
- 3. 1. Which of the remaining quadrilaterals have 1 pair of parallel sides? Trapezoids Remove them from your stack. 2. 4. 5. 9. 10. 13. 15. 16. 7. 8. 1. 1. 7. 8. 11. 11.
- 4. 4. Which of the remaining quadrilaterals have 2 sets of parallel sides? Parallelograms 2. 4. 5. 9. 10. 13. 15. 16. 2. 4. 5. 9. 10. 13. 15. 16.
- 5. 5. Which of the parallelograms have 4 right angles? Rectangles 2. 4. 5. 9. 10. 13. 15. 16. 4. 5. 10. 15.
- 6. 6. Which of the rectangles have 4 congruent sides? Squares 4. 5. 10. 15. 5. 15.
- 7. 7. Collect all of the parallelograms. Which of the parallelograms have 4 congruent sides? Rhombi 2. 4. 5. 9. 10. 13. 15. 16. 5. 9. 15. 16.
- 8. 8-3 Tests for Parallelograms How do you know if you have one?
- 9. Yes Yes No Yes Do you have enough information to decide if it is a parallelogram? 6 6
- 10. Do you have enough information? No Yes Yes Yes 50° 130°
- 11. 8-4 Special Quadrilaterals RECTANGLES SQUARES RHOMBI
- 12. Special Parallelograms RHOMBUS RECTANGLE SQUARE
- 13. PQRS is a rhombus P Q R S
- 14. PQRS is a rectangle
Editor's Notes
- These are to print out and give students a copy. They should cut it out and use in the sorting activity.