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The document provides instructions and diagrams for 4 math problems involving angles and perpendicular bisectors. It aims to review skills around finding unknown angles and distances given information about perpendicular or angle bisectors. The final section models explaining geometric proofs through stating reasons and using theorems such as vertical angles, alternate interior angles, and angle-angle-side.

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Prove It!

The document discusses geometry proofs, including givens and conclusions, triangle congruencies, triangle congruency shortcuts using SSS, SAS, ASA, AAS, and HL, writing two-column proofs, and applying the CPCTC principle that corresponding parts of congruent triangles are congruent. It provides examples of two-column proofs using different congruency rules and reasoning to prove that two triangles are congruent.

Congruent triangles

The document discusses various properties and theorems related to triangles. It begins by defining different types of triangles based on side lengths and angle measures. It then covers the four congruence rules for triangles: SAS, ASA, AAS, and SSS. The document proceeds to prove several theorems about relationships between sides and angles of triangles, such as opposite sides/angles of isosceles triangles being equal, larger sides having greater opposite angles, and the sum of any two angles being greater than the third side. It concludes by proving that the perpendicular from a point to a line is the shortest segment.

Congruent figure

This PowerPoint presentation introduces different criteria for determining if two triangles are congruent: 1) If three sides of one triangle are equal to three sides of another triangle. 2) If two sides and the included angle of one triangle are equal to those of another triangle. 3) If one side and the two angles adjacent to it of one triangle are equal to those of another triangle. 4) If three angles of one triangle are equal to three angles of another triangle. The document provides examples to illustrate each of the criteria for congruent triangles.

Triangle congruence

This document contains information about proving triangles congruent using various postulates and theorems of geometry including:
- SSS (side-side-side) postulate
- SAS (side-angle-side) postulate
- ASA (angle-side-angle) postulate
- AAS (angle-angle-side) theorem
- Hypotenuse-Leg theorem
It also defines key terms like hypotenuse and legs of a right triangle and presents the Pythagorean theorem.

Gch04 l5

This document discusses different methods for proving triangles congruent:
- ASA (Angle-Side-Angle) congruence can be used if two angles and the included side are congruent.
- AAS (Angle-Angle-Side) congruence can be used if two angles of one triangle are congruent to two angles of another triangle and one side included between the angles is congruent.
- HL (Hypotenuse-Leg) congruence can be used if two right triangles have one leg and the hypotenuse congruent.
Examples are provided to demonstrate applications of each method of triangle congruence.

Triangles ix

This document provides information about congruence of triangles from a geometry textbook. It includes definitions of congruent figures and associating real numbers with lengths and angles. It describes the one-to-one correspondence test for congruence of triangles. It discusses sufficient conditions for congruence including SAS, SSS, ASA, and SAA. It presents activities and examples verifying these tests and exploring properties of isosceles and equilateral triangles. The document encourages critical thinking through "Think it Over" prompts and upgrading the chapter with additional content.

8.3 notes

The document discusses ways to prove that a quadrilateral is a parallelogram. There are 5 methods listed: 1) showing both pairs of opposite sides are parallel, 2) showing both pairs of opposite sides are congruent, 3) showing both pairs of opposite angles are congruent, 4) showing one pair of opposite sides are parallel and congruent, 5) showing the diagonals bisect each other. The document also mentions the homework assignment is to complete problems 4 through 20 on page 526 of the textbook, which are the even numbered problems.

2.7.5 CPCTC

This document discusses the concept of CPCTC (Corresponding Parts of Congruent Triangles are Congruent). It states that once two triangles are proven to be congruent using SSS, SAS, ASA, AAS, or HL, then all corresponding parts of the triangles (sides and angles) are also congruent due to CPCTC. An example proof is provided that uses CPCTC to show two angles are congruent after establishing triangle congruence using SAS.

Congruent Triangles

1. Triangles are congruent if all corresponding sides and angles are congruent. They will have the same shape and size but may be mirror images.
2. There are four main postulates and theorems used to prove triangles congruent: SSS (three sides), SAS (two sides and included angle), ASA (two angles and included side), and AAS (two angles and non-included side).
3. Corresponding parts of congruent triangles are also congruent based on the CPCTC theorem. This allows using previously proven congruent parts in future proofs.

Geometry 201 unit 4.2

This document provides instruction on proving triangle congruence using the Side-Side-Side (SSS) and Side-Angle-Side (SAS) postulates. It includes examples of using SSS and SAS to show that triangles are congruent, as well as practice problems for students to verify congruence. Key concepts covered are triangle rigidity, included angles, and applying SSS and SAS to real-world geometry problems.

4 3 congruent triangles

Two geometric figures are congruent if they have the exact same shape and size. For congruent polygons, all corresponding parts including angles and sides are congruent. Corresponding parts of congruent triangles are congruent.

Teacher lecture

This document provides an introduction to congruent triangles and the different methods to prove triangles are congruent: SSS, SAS, and ASA. It includes examples of using side and angle correspondences to show triangles are congruent according to the three congruence rules. Students are asked to complete a KWL chart on triangles as an exit ticket.

Cogruence

The document discusses congruence and similarity of triangles and figures. It defines congruence as two figures having equal corresponding sides and angles. Similarity requires proportional corresponding sides and equal corresponding angles. The conditions for congruence of triangles are: side-side-side, side-angle-side, angle-side-angle, and angle-angle-side. Congruence is reflexive, symmetric, and transitive. The conditions for similarity of triangles are: corresponding sides proportional and two or more equal corresponding angles.

Gch04 l4

This document discusses triangle congruence using the Side-Side-Side (SSS) and Side-Angle-Side (SAS) postulates. It provides examples of using SSS and SAS to prove that two triangles are congruent. Key concepts covered include triangle rigidity, included angles, and applying SSS and SAS to solve problems and construct congruent triangles. Worked examples demonstrate using SSS and SAS, along with step-by-step proofs of triangle congruence.

Chapter 1.2

- Hales, a Greek mathematician, was the first to measure the height of a pyramid using similar triangles. He showed that the ratio of the height of the pyramid to the height of the worker was the same as the ratio of the heights of their respective shadows.
- The document discusses using similar triangles to solve problems involving finding unknown lengths, such as measuring the height of a pyramid based on the shadow lengths of the pyramid and a worker of known height.
- Examples are provided of determining if two triangles are similar based on proportional sides or equal corresponding angles, and using similarities between triangles to find unknown lengths.

Proving Triangles Congruent Sss, Sas Asa

This document discusses different ways to prove that two triangles are congruent, including the side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), and angle-angle-side (AAS) congruence postulates. It provides examples of applying each postulate to determine if pairs of triangles are congruent or not. There is no side-side-angle (SSA) or angle-angle-angle (AAA) postulate that can prove congruence.

Math 8 – triangle congruence, postulates,

The document provides information about triangle congruence, including:
1. There are three postulates for proving triangles are congruent: side-side-side (SSS), side-angle-side (SAS), and angle-side-angle (ASA).
2. The SSS postulate states that if three sides of one triangle are congruent to three sides of a second triangle, then the triangles are congruent.
3. The SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of a second triangle, then the triangles are congruent.
4. The ASA postulate states that if two angles

Geom 6point3 97

This document discusses several theorems for proving that a quadrilateral is a parallelogram:
1) If both pairs of opposite sides of a quadrilateral are congruent, then it is a parallelogram.
2) If both pairs of opposite angles of a quadrilateral are congruent, then it is a parallelogram.
3) If an angle of a quadrilateral is supplementary to both of its consecutive angles, then it is a parallelogram.
The document also provides proofs of these theorems and discusses using coordinate geometry to prove sides are congruent or parallel.

Kesebangunan dua segitiga dan contoh soalnya

The document discusses properties of congruent triangles in three sentences or less:
Two triangles are congruent if (1) their corresponding sides are proportional or (2) their corresponding angles are equal in measure. Several examples demonstrate how to prove triangles are congruent by showing their corresponding sides are proportional or corresponding angles are equal. Proportionality of corresponding sides and equality of corresponding angles are used to determine missing side lengths in various triangle scenarios.

Provingtrianglescongruentssssasasa

This document discusses different ways to prove that two triangles are congruent, including the side-side-side (SSS), side-angle-side (SAS), angle-side-angle (ASA), and angle-angle-side (AAS) postulates. It provides examples of applying each postulate and determining whether given pairs of triangles can be proven congruent. The main ideas are that SSS, SAS, ASA, and AAS postulates can be used to prove triangles congruent if the corresponding parts are congruent, while SSA and AAA are not valid postulates.

Prove It!

Prove It!

Congruent triangles

Congruent triangles

Congruent figure

Congruent figure

Triangle congruence

Triangle congruence

Gch04 l5

Gch04 l5

Triangles ix

Triangles ix

8.3 notes

8.3 notes

2.7.5 CPCTC

2.7.5 CPCTC

Congruent Triangles

Congruent Triangles

Geometry 201 unit 4.2

Geometry 201 unit 4.2

4 3 congruent triangles

4 3 congruent triangles

Teacher lecture

Teacher lecture

Cogruence

Cogruence

Gch04 l4

Gch04 l4

Chapter 1.2

Chapter 1.2

Proving Triangles Congruent Sss, Sas Asa

Proving Triangles Congruent Sss, Sas Asa

Math 8 – triangle congruence, postulates,

Math 8 – triangle congruence, postulates,

Geom 6point3 97

Geom 6point3 97

Kesebangunan dua segitiga dan contoh soalnya

Kesebangunan dua segitiga dan contoh soalnya

Provingtrianglescongruentssssasasa

Provingtrianglescongruentssssasasa

Chapter 5 unit f 001

This document provides definitions, examples, and practice problems related to perpendicular bisectors and angle bisectors. It begins by defining perpendicular bisectors as the locus of points equidistant from the endpoints of a segment. Angle bisectors are defined as the locus of points equidistant from the sides of an angle. Examples show applying theorems about perpendicular and angle bisectors to find missing measures. The document concludes with an example writing an equation for a perpendicular bisector in point-slope form.

5002 more with perp and angle bisector and cea

Students were instructed to place their homework from the previous Wednesday on their desk and turn in any unfinished work from the prior Friday. They were then told to copy geometry questions and self-assess their answers as a guess, unsure, or sure. The objective was to review properties of perpendicular bisectors, angle bisectors, and demonstrate what students have learned over the course of the year.

5004 pyth tring inequ and more

Point D is located below point B. Point E is located to the right of point D. Point F is located below point C and to the left of point E.

Triang inequality drill and review

Students were assigned homework involving triangles and the Pythagorean theorem due on February 8th. The objective of the assignment was for students to review the triangle inequality theorem and Pythagorean theorem as it relates to triangles.

Pytha drill into lines of concurrency

1) The document provides instructions for an honors geometry class, including having homework and a pen ready, an upcoming quiz on Friday, and drill problems to work on finding missing side lengths of triangles using properties like the Pythagorean theorem.
2) Students are asked to work with a partner using devices and packets to investigate triangle properties like perpendicular bisectors, angle bisectors, midsegments, and medians using geometry software.
3) Key vocabulary is defined, like what a midsegment of a triangle is and the midsegment theorem. Sample problems are provided applying these concepts.

Trig review day 1 2013

The teacher is reviewing trigonometric functions and identities in preparation for a quiz the next day. Students are instructed to complete drill questions independently, which involve finding trigonometric functions like sine, cosine and tangent of given angles, writing trig functions in terms of other functions, and solving equations to find unknown angles. The teacher's objective is for students to strengthen their understanding of the trigonometric concepts from the unit in order to be ready for the upcoming quiz.

Pytha drill into lines of concurrency day 2

This document contains notes from a geometry lesson on using properties of perpendicular bisectors, angle bisectors, midsegments, and medians of a triangle. It includes three examples of using perpendicular bisectors and angle bisectors to find distances in triangles. It also poses a question about what geometric construction could be used to find a location equal distance from three given points X, Y, and Z, which represents finding the circumcenter of a triangle formed by those points.

Chapter 5 review drill

The document outlines a geometry drill session that reviews special right triangles and chapter 5 material. It provides several problems to find missing sides of right triangles given certain measurements, instructing students to show their work and use formulas. Problems include finding sides of triangles with angles of 30-60-90, 45-45-90, and solving for unknown sides using trigonometric ratios.

La sa v review 2013 8 questions

The document contains instructions for geometry problems:
1) Find the length of the diagonal of a cube with an edge length of 25 cm.
2) Find the surface area of a composite figure.
3) Find the volume of the composite figure and express the answer in terms of a given unit of measurement.

Trig inverse day 1

This document provides instructions and examples for a geometry drill on inverse functions. Students are asked to find missing values in functions, find the inverse of given functions, use inverse sine and cosine to find angle measurements given side lengths, and provide answers to assignment questions. The document also provides example answers to practice problems involving inverse trigonometric functions and finding unknown angle measures.

Ao dand aoe

The document contains an explanation of angles of elevation and depression in geometry, along with examples of using these concepts to solve problems. It defines angles of elevation and depression, shows how they relate using alternate interior angles, and provides examples of classifying these angles and using them to calculate distances and heights when given relevant angles and side lengths. The final section contains a short quiz to assess understanding of classifying and solving problems involving angles of elevation and depression.

Chapter 5 unit f 001

Chapter 5 unit f 001

5002 more with perp and angle bisector and cea

5002 more with perp and angle bisector and cea

5004 pyth tring inequ and more

5004 pyth tring inequ and more

Triang inequality drill and review

Triang inequality drill and review

Pytha drill into lines of concurrency

Pytha drill into lines of concurrency

Trig review day 1 2013

Trig review day 1 2013

Pytha drill into lines of concurrency day 2

Pytha drill into lines of concurrency day 2

Chapter 5 review drill

Chapter 5 review drill

La sa v review 2013 8 questions

La sa v review 2013 8 questions

Trig inverse day 1

Trig inverse day 1

Ao dand aoe

Ao dand aoe

8.2 use properties of parallelograms

This document discusses properties of parallelograms. It provides three examples that demonstrate using properties of parallelograms to find missing angle measures, side lengths, and midpoints of diagonals. It also includes guided practice problems asking students to apply these properties. The key properties covered are that opposite sides of parallelograms are equal, opposite angles are equal, consecutive angles are supplementary, and diagonals bisect each other.

Geometry unit 5.2

This document provides instruction on perpendicular and angle bisectors. It defines key terms such as equidistant, locus, and perpendicular bisector. It explains that an angle bisector is the locus of points equidistant from the sides of an angle. Examples are provided to demonstrate applying theorems about perpendicular and angle bisectors to find missing measures. Students are asked to construct perpendicular bisectors and angle bisectors, find midpoints and slopes, and solve problems involving perpendicular and angle bisectors.

Bs33424429

International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research and review articles in the fields of Computer Science, Neural Networks, Electrical Engineering, Software Engineering, Information Technology, Mechanical Engineering, Chemical Engineering, Plastic Engineering, Food Technology, Textile Engineering, Nano Technology & science, Power Electronics, Electronics & Communication Engineering, Computational mathematics, Image processing, Civil Engineering, Structural Engineering, Environmental Engineering, VLSI Testing & Low Power VLSI Design etc.

Bs33424429

IJERA (International journal of Engineering Research and Applications) is International online, ... peer reviewed journal. For more detail or submit your article, please visit www.ijera.com

Module 3 similarity

This module covers similarity and the Pythagorean theorem as they relate to right triangles. Key points include:
- In a right triangle, the altitude to the hypotenuse separates the triangle into two triangles, each similar to the original triangle and to each other.
- The altitude to the hypotenuse is the geometric mean of the segments it divides, and each leg is the geometric mean of the hypotenuse and adjacent segment.
- The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs. This can be used to find a missing side length.
- Special right triangles include the 45-45

COT 1-MMREYES2022-RECORD1.pptx

This document provides a lesson on solving corresponding parts of congruent triangles. It begins with an introduction and objective. It then presents the theorem that corresponding parts of congruent triangles are congruent. Several examples are worked through to demonstrate identifying congruent angles and sides of triangles and solving for missing values. The lesson concludes with an activity for students to practice solving corresponding parts of congruent triangles.

Chapter 5 day 5

The document contains instructions and problems for geometry class. It includes 9 multiple choice and short answer questions about finding lengths, coordinates, measures, and averages in various triangles. It concludes by asking students to make a conjecture about the centroid of a triangle based on finding the average of the x- and y-coordinates of triangle vertices.

Module 3 similarity

This module covers similarity and the Pythagorean theorem as they relate to right triangles. It discusses how the altitude to the hypotenuse of a right triangle divides it into two smaller right triangles that are similar to each other and the original triangle. It also explains how the altitude is the geometric mean of the hypotenuse segments. Special right triangles like 45-45-90 and 30-60-90 triangles are examined, relating side lengths through their properties. The Pythagorean theorem is derived and used to solve for missing sides of right triangles. Students work through examples and multi-step problems applying these concepts.

Module 1 similarity

This module introduces ratio, proportion, and the Basic Proportionality Theorem. Students will learn about ratios, proportions, and how to use the fundamental law of proportions to solve problems involving triangles. The module is designed to teach students to apply the definition of proportion of segments to find unknown lengths and illustrate and verify the Basic Proportionality Theorem and its Converse. Examples are provided to demonstrate how to express ratios in simplest form, find missing values in proportions, determine if ratios form proportions, and solve problems involving angles and segments in triangles using ratios and proportions.

F0261036040

1. The author invented a new formula for calculating the area of an isosceles triangle based on Pythagorean theorem.
2. The formula is: Area = b(4a^2 - b^2)/4, where b is the base and a is the length of the two equal sides.
3. The author provides two examples calculating the areas of isosceles triangles using the new formula and verifies the results using Heron's formula.

F0261036040

1. The author invented a new formula for calculating the area of an isosceles triangle based on Pythagorean theorem.
2. The formula is: Area = b(4a^2 - b^2)/4, where b is the base and a is the length of the two equal sides.
3. The author provides two examples calculating the areas of isosceles triangles using the new formula and verifies the results using Heron's formula.

International Journal of Engineering and Science Invention (IJESI)

International Journal of Engineering and Science Invention (IJESI) is an international journal intended for professionals and researchers in all fields of computer science and electronics. IJESI publishes research articles and reviews within the whole field Engineering Science and Technology, new teaching methods, assessment, validation and the impact of new technologies and it will continue to provide information on the latest trends and developments in this ever-expanding subject. The publications of papers are selected through double peer reviewed to ensure originality, relevance, and readability. The articles published in our journal can be accessed online.

Invention of the plane geometrical formulae - Part II

Invention of the plane geometrical formulae - Part IIInternational Journal of Engineering Inventions www.ijeijournal.com

International Journal of Engineering Inventions (IJEI) provides a multidisciplinary passage for researchers, managers, professionals, practitioners and students around the globe to publish high quality, peer-reviewed articles on all theoretical and empirical aspects of Engineering and Science.
The peer-reviewed International Journal of Engineering Inventions (IJEI) is started with a mission to encourage contribution to research in Science and Technology. Encourage and motivate researchers in challenging areas of Sciences and Technology.4b. Pedagogy of Mathematics (Part II) - Geometry (Ex 4.2)

Pedagogy of Mathematics (Part II) - Geometry, Geometry, Maths, IX std Maths, Samacheerkalvi maths, II year B.Ed., Pedagogy, Mathematics, Quadrilaterals, polygons, concave polygon, convex polygon, special names for some quadrilaterals, Types of quadrilaterals, properties of quadrilaterals,

Weekly Dose 22 - Maths Olympiad Practice - Area

The document contains solutions to several geometry problems involving areas of triangles, circles, rectangles, and composite shapes. The problems utilize properties of similar triangles, partitioning of areas, and relationships between parts and wholes. Diagrams are provided and calculations are shown step-by-step to arrive at the requested values.

1.1.1B Measuring Segments

Calculate the distance between two points
Set up and solve linear equations using segment addition and midpoint properties
Correctly use notation for distance and segments

Central Angle and its Intercepted Arc.pptx

This document provides instruction on determining the relationship between arcs and central angles in a circle. It defines key terms like central angle, arc, and diameter. It explains the central angle theorem - that the measure of the central angle is equal to the measure of its intercepted arc. The document includes 4 examples problems where the user is asked to find the measure of angles and arcs in various circles given a central angle measurement. The objective is to help the user appreciate accumulated knowledge and solve for arc and angle measures in circles.

Basic technical mathematics with calculus 10th edition washington solutions m...

Basic Technical Mathematics with Calculus 10th Edition Washington Solutions Manual
Download: https://goo.gl/LVjCCU
basic technical mathematics with calculus 10th edition pdf
basic technical mathematics 10th edition pdf
basic technical mathematics with calculus 10th edition answers
isbn: 978-1269723480
basic technical mathematics with calculus 10th edition solutions manual pdf
basic technical mathematics with calculus 9th edition
basic technical mathematics with calculus with mymathlab
basic technical mathematics with calculus pearson

Module 1 similarity

This module introduces ratio, proportion, and the Basic Proportionality Theorem. Students will learn about ratios, proportions, and how to use the fundamental law of proportions to solve problems involving similar triangles. The module is designed to help students apply the definition of proportion to find unknown lengths, illustrate and verify the Basic Proportionality Theorem and its converse, and develop skills for solving geometry problems involving triangles. Exercises cover writing and simplifying ratios, setting up and solving proportions, determining if ratios form proportions, and applying the Basic Proportionality Theorem.

1.1.5 Midpoint and Partition Formulas

Find the midpoint of two given points.
Find the coordinates of an endpoint given one endpoint and a midpoint.
Find the coordinates of a point a fractional distance from one end of a segment.

8.2 use properties of parallelograms

8.2 use properties of parallelograms

Geometry unit 5.2

Geometry unit 5.2

Bs33424429

Bs33424429

Bs33424429

Bs33424429

Module 3 similarity

Module 3 similarity

COT 1-MMREYES2022-RECORD1.pptx

COT 1-MMREYES2022-RECORD1.pptx

Chapter 5 day 5

Chapter 5 day 5

Module 3 similarity

Module 3 similarity

Module 1 similarity

Module 1 similarity

F0261036040

F0261036040

F0261036040

F0261036040

International Journal of Engineering and Science Invention (IJESI)

International Journal of Engineering and Science Invention (IJESI)

Invention of the plane geometrical formulae - Part II

Invention of the plane geometrical formulae - Part II

4b. Pedagogy of Mathematics (Part II) - Geometry (Ex 4.2)

4b. Pedagogy of Mathematics (Part II) - Geometry (Ex 4.2)

Weekly Dose 22 - Maths Olympiad Practice - Area

Weekly Dose 22 - Maths Olympiad Practice - Area

1.1.1B Measuring Segments

1.1.1B Measuring Segments

Central Angle and its Intercepted Arc.pptx

Central Angle and its Intercepted Arc.pptx

Basic technical mathematics with calculus 10th edition washington solutions m...

Basic technical mathematics with calculus 10th edition washington solutions m...

Module 1 similarity

Module 1 similarity

1.1.5 Midpoint and Partition Formulas

1.1.5 Midpoint and Partition Formulas

Olivia’s math problem2

100 day of school

Olivia’s math problem2

100 days

Olivia's 100 day of school

100 days

Oliviamath problem

100 dyas

Olivia’s math problem

100 day project

Olivia’s math problem

100 day project

Proving quads are parralelograms

The document contains notes from a geometry drill on identifying parallelograms and determining values of x and y in parallelogram figures. It lists homework answers and a classwork assignment to identify parallelograms from figures and state the relevant definition or theorem, as well as an assignment to complete 15 problems showing work.

Special parralelogrmas day 1

The document contains instructions and content for a geometry drill lesson. The objective is for students to discover properties of special parallelograms. The lesson includes definitions and examples of rectangles, rhombi, squares, and parallelograms. Students are asked to identify these shapes in diagrams and list their defining properties. They will also complete problems finding missing side lengths and plotting point coordinates to identify geometric objects.

Polygons day 2 2015

1. The document provides geometry problems involving calculating interior and exterior angle measures of various regular and non-regular polygons. It asks students to find angle sums and individual angle measures for polygons with a specified number of sides.
2. Questions involve calculating interior and exterior angle sums and measures for polygons ranging from pentagons to 15-gons and up to polygons with 30 or 36 sides. Students are asked to determine properties of polygons like the number of sides if the interior angle sum is given.

Parralelogram day 1 with answersupdated

A parallelogram is a quadrilateral with two pairs of parallel sides. Students were assigned geometry homework to find the values of x and y in figures and provide proof of their answers, placing their homework and pen on the corner of their desk. They were asked to define a parallelogram.

Parralelogram day 2

The document provides instructions to complete geometry homework problems involving regular polygons, parallelograms, and finding missing angle measures. Students are asked to find: the number of sides of two regular polygons given interior and exterior angle measures; angle measures and that parallelogram EFGH is a parallelogram; angle measures x, y, and z for two parallelograms; and to show work for problems 8 through 10.

5002 more with perp and angle bisector and cea updated

Students were instructed to place their homework from the previous Wednesday on their desk and turn in any unfinished work from the prior Friday. They were then told to copy geometry questions and self-assess their answers as a guess, unsure, or sure. The objective was for students to review properties of perpendicular bisectors, angle bisectors, and demonstrate what they have learned in honors geometry over the course of the year.

Review day 2

The document provides instructions for students to complete a geometry handout individually. It asks students to draw a segment 8 inches long labeled AB, draw a right angle from point A, mark off 6 inches from point A to point C to form a right triangle, and connect points B and C. It then asks students whether the resulting triangles would be congruent for everyone and why or why not. The document also states the objective is to review for a geometry test on Friday and includes blanks for stating geometry statements, reasons, and constructing proofs.

Overlapping triangle drill

This document provides lesson materials on isosceles and equilateral triangles including:
- Key vocabulary terms like legs, vertex angle, and base of an isosceles triangle.
- The Isosceles Triangle Theorem and its converse.
- Properties and theorems regarding equilateral triangles.
- Examples proving triangles congruent using corresponding parts of congruent triangles (CPCTC).
- A lesson quiz to assess understanding of isosceles triangle properties and angle measures.

Chapter4006more with proving traingle congruent

The document contains notes from a geometry class, including examples of proofs of triangle congruence using various postulates and theorems. Several triangle congruence proofs are shown using criteria such as ASA, SAS, and SSS. Key vocabulary terms like hypotenuse and legs are defined. The Pythagorean theorem and its formula are stated.

Chapter4001 and 4002 traingles

This document is from a geometry textbook. It discusses classifying triangles based on their angle measures and side lengths. There are examples of classifying triangles as acute, obtuse, right, equiangular, isosceles, scalene, and equilateral. It also discusses finding missing angle measures and side lengths using triangle properties and theorems like the Triangle Sum Theorem.

3010 review day

1. The document contains an honors geometry drill with 11 problems. The problems involve identifying angle theorems/postulates, finding unknown angle measures, naming parallel/perpendicular relationships, writing inequalities, solving equations, and completing a two-column proof.
2. The first 4 problems require stating the angle theorem and finding unknown angle measures using properties of alternate interior/exterior angles, corresponding angles, and same-side interior angles.
3. Problems 5-8 require naming the angle theorem that proves lines are parallel or perpendicular. The final problems involve an inequality, solving an equation, and completing a two-column proof.

3009 review of slopes and lines

1. The document contains instructions and examples for a geometry drill on lines and linear equations. Students are told to put their homework on the corner of their desk and that the drill will cover finding slope, writing and graphing lines in slope-intercept and point-slope form, and classifying lines as parallel, intersecting, or coinciding.
2. The warm-up problems involve substituting values into the equation y=mx+b to solve for b and solving linear equations for y. The objectives are listed as graphing lines and writing their equations in slope-intercept and point-slope form.
3. Students are reminded that a line's y-intercept is the b value in y=mx+

3009 perpendicular lines an theoremsno quiz

This document contains examples and explanations about perpendicular lines from a geometry textbook. It includes examples of finding the shortest distance from a point to a line by drawing a perpendicular segment, proofs about perpendicular lines, and applications of perpendicular lines in carpentry and swimming. The document contains instructions for students to complete homework problems on these concepts.

3005 proving lines parrallel day 2y

1) The geometry class notes covered homework assignments, angle measurements, and proving lines are parallel using a transversal without using the alternate exterior angle theorem.
2) Students were asked to continue practicing proving lines are parallel by showing a line and angle are congruent given a transversal cuts two lines.
3) The proof must be completed in statements and reasons without using the convention of the alternate exterior angle theorem.

Olivia’s math problem2

Olivia’s math problem2

Olivia’s math problem2

Olivia’s math problem2

Olivia's 100 day of school

Olivia's 100 day of school

Oliviamath problem

Oliviamath problem

Olivia’s math problem

Olivia’s math problem

Olivia’s math problem

Olivia’s math problem

Proving quads are parralelograms

Proving quads are parralelograms

Special parralelogrmas day 1

Special parralelogrmas day 1

Polygons day 2 2015

Polygons day 2 2015

Parralelogram day 1 with answersupdated

Parralelogram day 1 with answersupdated

Parralelogram day 2

Parralelogram day 2

5002 more with perp and angle bisector and cea updated

5002 more with perp and angle bisector and cea updated

Review day 2

Review day 2

Overlapping triangle drill

Overlapping triangle drill

Chapter4006more with proving traingle congruent

Chapter4006more with proving traingle congruent

Chapter4001 and 4002 traingles

Chapter4001 and 4002 traingles

3010 review day

3010 review day

3009 review of slopes and lines

3009 review of slopes and lines

3009 perpendicular lines an theoremsno quiz

3009 perpendicular lines an theoremsno quiz

3005 proving lines parrallel day 2y

3005 proving lines parrallel day 2y

- 1. #3.03 Drill 2/3/15 Use the diagram for Items 1–2. 1. Given that mABD = 16°, find mABC. 2. Given that mABD = (2x + 12)° and mCBD = (6x – 18)°, find mABC. 32° 54° 65 8.6 Use the diagram for Items 3–4. 3. Given that FH is the perpendicular bisector of EG, EF = 4y – 3, and FG = 6y – 37, find FG. 4. Given that EF = 10.6, EH = 4.3, and FG = 10.6, find EG. Put HW and Pen on corner of your desk
- 2. Objective • STW continue to work with perpendicular bisectors and angle bisectors • STW review past information including some SAT strategies
- 7. 𝑚∠1 + 𝑚∠11 + 𝑚∠14 = 180° Why?
- 8. Why? 𝑚∠3 + 𝑚∠5 = 180°
- 10. Why? 𝑚∠14 + 𝑚∠9 = 180°
- 12. DEAE DEBAEC BCDA , DEBAEC BDAC E is the midpoint of 𝐴𝐷, 𝐴𝐶 ∥ 𝐵𝐷 Def of a Midpoint VA thrm AIA thrm AAS/ASA CPCTC