CHAPTER FOUR TRIANGLE CONGRUENCE. Section 4-1: Classifying Triangles
|
|
- Amie Daniel
- 6 years ago
- Views:
Transcription
1 CHAPTER FOUR TRIANGLE CONGRUENCE 1 Name Section 4-1: Classifying Triangles LT 1 I can classify triangles by their side lengths and their angles. LT 2 I will use triangle classification to find angle measures and side lengths. Triangles can be classified in two ways: by their side length or by their angle measure. Define: Equilateral triangle Isosceles triangle Scalene triangle Acute triangle Equiangular triangle Right triangle Obtuse triangle Classify each triangle by its angle measures. A FHG B. EFH C. EHG
2 2 Classify each triangle by its side lengths. A. ABC B. ABD C. ACD Find the side lengths of JKL. Find the side lengths of equilateral FGH. Music Application A manufacture produces musical triangles by bending pieces of steel into the shape of an equilateral triangle. The triangles are available in side of 4 inches, 7 inches, and 10 inches. How many 7-inch triangles can the manufacturer produce from a 100 inch piece of steel? How many 10-inch triangles can the manufacturer produce from a 100 inch piece of steel?
3 LT 3 Section 4-2: Angle Relationships in Triangles I can apply the theorems about the interior and exterior angles of triangles to find angle measures. 3 Define: Auxillary line Corollary Example 1: After an accident, the positions of cars are measured by law enforcement to investigate the collision. Use the diagram drawn from the information collected to find m XYZ and m YWZ. Example 2: Use the diagram to find m MJK.
4 Example 3: One of the acute angles in a right triangle measures 2x. What is the measure of the other acute angle? 4 Example 4: The measure of one of the acute angles in a right triangle is 48. What is the measure of the other acute angle? Define Interior Exterior Interior angle Exterior angle Remote interior angle
5 Example 5: Applying the Exterior Angle Theorem Find m B. 5 Example 6: Find m ACD. Example 7: Find m K and m J.
6 LT 4 LT 5 Section 4-3: Congruent Triangles I can use properties of congruent triangles to find missing sides and angles. I can prove triangles are congruent by: a. Definition of Congruence (4.3) Define Corresponding Angles 6 Corresponding Sides Congruent Polygons Example 1: Given: PQR STW Identify all pairs of corresponding congruent parts. Example 2: If polygon LMNP is congruent to polygon EFGH, identify all of the pairs of corresponding congruent parts.
7 Example 3: Given: ABC DEF Find the value of x. 7 Find m F. Example 4: Given: YWX and YWZ are right angles. YW bisects XYZ. W is the midpoint of XZ. XY YZ. Prove: XYW ZYW Example 5: Given: AD bisects BE. BE bisects AD. AB DE, A D Prove: ABC DEC
8 LT 5 LT 6 Section 4-4 Triangle Congruence: SSS and SAS I can prove triangles are congruent by: b. SSS (4.4) c. SAS(4.4) I can apply theorems/postulates to solve problems about triangles using: a. SSS (4.4) b. SAS(4.4) 8 Define: Triangle rigidity Included angle Example 1: Use SSS to explain why ABC DBC. Example 2: Use SSS to explain why ABC CDA. Example 3: The diagram shows part of the support structure for a tower. Use SAS to explain why XYZ VWZ.
9 Example 4: Use SAS to explain why ABC DBC. 9 Example 5: Show that the triangles are congruent for the given value of the variable. MNO PQR, when x = 5. Example 6: Given: BC AD, BC AD Prove: ABD CDB Example 7: Given: QP bisects RQS. QR QS Prove: RQP SQP
10 Lesson 4-5: Triangle Congruence: ASA, AAS, and HL I can prove triangles are congruent by: d. ASA(4.5) LT 5 e. AAS(4.5) f. HL(4.5) I can apply theorems/postulates to solve problems about triangles using: d. ASA(4.5) LT 6 e. AAS(4.5) f. HL(4.5) Define Included side 10 Example 1: Determine if you can use ASA to prove the triangles congruent. Explain. Example 2: Determine if you can use ASA to prove NKL LMN. Explain.
11 11 Example 3: Use AAS to prove the triangles congruent. Given: X V, YZW YWZ, XY VY Prove: XYZ VYW Example 4: Use AAS to prove the triangles congruent. Given: JL bisects KLM, K M Prove: JKL JML
12 12 Example 5: Determine if you can use the HL Congruence Theorem to prove the triangles congruent. If not, tell what else you need to know. A) B) Example 6: Determine if you can use the HL Congruence Theorem to prove ABC DCB. If not, tell what else you need to know.
13 LT 8 Section 4-6: Triangle Congruence: CPCTC I will use CPCTC to prove parts of triangles are congruent. 13 Define CPCTC Example 1: A landscape architect sets up the triangles shown in the figure to find the distance JK across a pond. What is JK? Example 2: Given: YW bisects XZ, XY YZ. Prove: XYW ZYW Z
14 Example 3: Given: PR bisects QPS and QRS. Prove: PQ PS 14 Example 4: Given: NO MP, N P Prove: MN OP Example 5: Given: J is the midpoint of KM and NL. Prove: KL MN
15 Section 4-8: Isosceles and Equilateral Triangles I can apply properties and theorems of isosceles and equilateral triangles to find missing side lengths and angle LT 9 measures. Define Isosceles Triangle Legs 15 Vertex Angle Base Base angles Example 1: Find m F. Example 2: Find m G.
16 Example 3: Find m H. 16 Example 4: Find m N. Example 5: Find the value of x.
Chapter 4 Unit 6 SPRING GEOMETRY Name Hour
CONGRUENT TRIANGLES Chapter 4 Unit 6 SPRING 2019 GEOMETRY Name Hour Geometry Classifying Triangles 4.1 Objectives: Triangles can be classified by their and/or their. 1) classify triangles by their angle
More information1. If ABC DEF, then A? and BC?. D. EF 2. What is the distance between (3, 4) and ( 1, 5)? 17
Warm Up 1. If ABC DEF, then A? and BC?. D EF 2. What is the distance between (3, 4) and ( 1, 5)? 17 3. If 1 2, why is a b? Converse of Alternate Interior Angles Theorem 4. List methods used to prove two
More informationUnit 4 Congruent Triangles.notebook. Geometry. Congruent Triangles. AAS Congruence. Review of Triangle Congruence Proofs.
Geometry Congruent Triangles AAS Congruence Review of Triangle Congruence Proofs Return to Table 1 Side opposite Side Side the sides of triangles Adjacent Sides - two sides sharing a common vertex leg
More informationALGEBRA For each triangle, find x and the measure of each side. 1. LMN is an isosceles triangle, with LM = LN, LM = 3x 2, LN = 2x + 1, and MN = 5x 2.
Find each measure ALGEBRA For each triangle, find x and the measure of each side 4 1 LMN is an isosceles triangle, with LM = LN, LM = 3x 2, LN = 2x + 1, and MN = 5x 2 a x = 1; LM = 1, LN = 3, MN = 4 b
More information4-7 Triangle Congruence: CPCTC
4-7 Triangle Congruence: CPCTC Warm Up Lesson Presentation Lesson Quiz Holt Geometry McDougal Geometry Warm Up 1. If ABC DEF, then A? and BC?. D EF 2. What is the distance between (3, 4) and ( 1, 5)? 17
More informationGEOMETRY. Chapter 4: Triangles. Name: Teacher: Pd:
GEOMETRY Chapter 4: Triangles Name: Teacher: Pd: Table of Contents DAY 1: (Ch. 4-1 & 4-2) Pgs: 1-5 Pgs: 6-7 SWBAT: Classify triangles by their angle measures and side lengths. Use triangle classification
More information41. What is the value of x? 19 57 52 71 42. Find the value of s. 23 34 28 56 43. A and B are the remote interior angles of BCD in ABC. Which of these equations must be true? m A - 180 = m B m A = 90 -
More informationCongruent Triangles Triangles. Warm Up Lesson Presentation Lesson Quiz. Holt Geometry. McDougal Geometry
Triangles Warm Up Lesson Presentation Lesson Quiz Holt Geometry McDougal Geometry Warm Up 1. Name all sides and angles of FGH. FG, GH, FH, F, G, H 2. What is true about K and L? Why? ;Third s Thm. 3. What
More informationFALL SEMESTER EXAM Directions: You must show work for all the problems. Unit 1. Angle. Angle Addition Postulate. Angle Bisector. Length of a segment
Name FALL SEMESTER EXAM Directions: You must show work for all the problems. Unit 1 Period Angle Angle Addition Postulate Angle Bisector Length of a segment Line Midpoint Right Angle Segment Segment Addition
More informationTEKS: G10B, G9B, G5B, G2B The student will justify and apply triangle congruence relationships. The student will formulate and test conjectures about
TEKS: G10B, G9B, G5B, G2B The student will justify and apply triangle congruence relationships. The student will formulate and test conjectures about the properties and attributes of polygons and their
More informationGEOMETRY Chapter 4 Lesson Plan: Triangle Congruence
GEOMETRY Chapter 4 Lesson Plan: Triangle Congruence Name Per. Chapter 3 Test 4.1 Learning Goal: I can Read through Lesson 4-2 and fill in study classify triangles by using guide. (pgs.223-226) their angle
More information4-1 Classifying Triangles
4-1 Classifying Triangles Warm Up Lesson Presentation Lesson Quiz Warm Up Classify each angle as acute, obtuse, or right. 1. right 2. acute 3. obtuse 4. If the perimeter is 47, find x and the lengths of
More information5.1, 5.2 Constructing Circumcenter (Perpendicular Bisectors) Congruent Triangles 4.3
Date Name of Lesson Classifying Triangles 4.1 Angles of Triangles 4.2 Inequalities in One Triangle 5.3 Constructing Incenter (Angle Bisectors) 5.1, 5.2 Constructing Circumcenter (Perpendicular Bisectors)
More informationGeometry Regular Midterm Exam Review (Chapter 1, 2, 3, 4, 7, 9)
Geometry Regular Midterm Exam Review (Chapter 1, 2, 3, 4, 7, 9) Name: Date: Mod: Use the figure at the right for #1-4 1. What is another name for plane P? A. plane AE B. plane A C. plane BAD D. plane BAC
More informationGeometry - Concepts 9-12 Congruent Triangles and Special Segments
Geometry - Concepts 9-12 Congruent Triangles and Special Segments Concept 9 Parallel Lines and Triangles (Section 3.5) ANGLE Classifications Acute: Obtuse: Right: SIDE Classifications Scalene: Isosceles:
More information5.1 Congruent Triangles
5.1 Congruent Triangles Two figures are congruent if they have the same and the same. Definition of Congruent Triangles ΔABC ΔDEF if and only if Corresponding Angles are congruent: Corresponding Sides
More information4-1. Classifying Triangles. Lesson 4-1. What You ll Learn. Active Vocabulary
4-1 Classifying Triangles What You ll Learn Scan Lesson 4-1. Predict two things that you expect to learn based on the headings and the Key Concept box. 1. Active Vocabulary 2. New Vocabulary Label the
More informationGeometry Fundamentals Midterm Exam Review Name: (Chapter 1, 2, 3, 4, 7, 12)
Geometry Fundamentals Midterm Exam Review Name: (Chapter 1, 2, 3, 4, 7, 12) Date: Mod: Use the figure at the right for #1-4 1. What is another name for plane P? A. plane AE B. plane A C. plane BAD D. plane
More informationChapter 4. Triangles and Congruence
Chapter 4 Triangles and Congruence 4.1 Apply Triangle Sum Properties 4.2 Apply Congruence and Triangles 4.3 Prove Triangles Congruent by SSS 4.4 Prove Triangles Congruent by SAS and HL 4.5 Prove Triangles
More informationName Class Date. Find corresponding parts using the order of the letters in the names.
4-1 Reteaching Congruent Figures Given ABCD QRST, find corresponding parts using the names. Order matters. For example, This shows that A corresponds to Q. Therefore, A Q. For example, This shows that
More informationGeometry. Congruent Triangles. Unit 4. Name:
Geometry Unit 4 Congruent Triangles Name: 1 Geometry Chapter 4 Congruent Triangles ***In order to get full credit for your assignments they must me done on time and you must SHOW ALL WORK. *** 1. (4-1)
More informationUNIT 5 SIMILARITY AND CONGRUENCE
UNIT 5 SIMILARITY AND CONGRUENCE M2 Ch. 2, 3, 4, 6 and M1 Ch. 13 5.1 Parallel Lines Objective When parallel lines are cut by a transversal, I will be able to identify angle relationships, determine whether
More informationFGCU Invitational Geometry Individual 2014
All numbers are assumed to be real. Diagrams are not drawn to scale. For all questions, NOTA represents none of the above answers is correct. For problems 1 and 2, refer to the figure in which AC BC and
More informationUnit 3 Syllabus: Congruent Triangles
Date Period Unit 3 Syllabus: Congruent Triangles Day Topic 1 4.1 Congruent Figures 4.2 Triangle Congruence SSS and SAS 2 4.3 Triangle Congruence ASA and AAS 3 4.4 Using Congruent Triangles CPCTC 4 Quiz
More informationGeometry Level 1 Midterm Review Packet. I. Geometric Reasoning (Units 1 & 2) Circle the best answer.
2015 Midterm Outline (120pts) I. 28 Multiple Choice (28pts) II. 12 True & False (12pts) III. 13 Matching (13pts) IV. 14 Short Answer (49pts) V. 3 Proofs (18pts) VI. 10 Common Assessment (10pts) Geometry
More informationAngle Relationships in Triangles. Angle Relationships in Triangles
Angle Relationships in Triangles Warm Up Lesson Presentation Lesson Quiz Holt Geometry McDougal Geometry Warm Up 1. Find the measure of exterior DBA of BCD, if m DBC = 30, m C= 70, and m D = 80. 150 2.
More informationTriangle Congruence: SSS
Triangle Congruence: SSS Corresponding sides and corresponding angles of polygons are those that are in the same position in two different polygons with the same number of sides. These corresponding parts
More informationPOTENTIAL REASONS: Definition of Congruence:
Sec 1.6 CC Geometry Triangle Proofs Name: POTENTIAL REASONS: Definition of Congruence: Having the exact same size and shape and there by having the exact same measures. Definition of Midpoint: The point
More informationSection 4-1 Congruent Figures. Objectives: recognize congruent figures and their corresponding parts
Section 4-1 Congruent Figures Objectives: recognize congruent figures and their corresponding parts Congruent Polygons Congruent Polygons have congruent corresponding parts Congruent sides Congruent Angles
More informationChapter 4 Triangles Overview
Chapter 4 Triangles Overview Ohio State Standards for Mathematics: G.CO.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding
More information4 Triangles and Congruence
www.ck12.org CHAPTER 4 Triangles and Congruence Chapter Outline 4.1 TRIANGLE SUMS 4.2 CONGRUENT FIGURES 4.3 TRIANGLE CONGRUENCE USING SSS AND SAS 4.4 TRIANGLE CONGRUENCE USING ASA, AAS, AND HL 4.5 ISOSCELES
More informationGeometry Level 1 Midterm Review Packet
Geometry L1 2017 Midterm Topic List Unit 1: Basics of Geometry 1. Point, Line, Plane 2. Segment Addition Postulate 3. Midpoint Formula, Distance Formula 4. Bisectors 5. Angle Pairs Unit 2: Logical Reasoning
More informationThe SAS Postulate requires the same information as the LL Theorem, so it can be used to prove two right triangles congruent.
State whether each sentence is or false. If false, replace the underlined word or phrase to make a sentence. 1. The vertex angles of an isosceles triangle are false; The base angles of an isosceles triangle
More informationPractice Test - Chapter 4. Classify each triangle as acute, equiangular, obtuse, or right.
Classify each triangle as acute, equiangular, obtuse, or right. 1. Since has three congruent sides, it has three congruent angles. Therefore it is equiangular (and equilateral). 2. is a right triangle,
More informationGeometry Ch 4 Practice Exam
Name: Class: Date: Geometry Ch 4 Practice Exam Multiple Choice Identify the choice that best completes the statement or answers the question. 1. If BCDE is congruent to OPQR, then BC is congruent to?.
More informationReteach. Congruence and Transformations
Congruence and Transformations TYPES OF TRANSFORMATIONS (centered at (0, 0)) Translation (slide): (x, y) (x a, y b) Reflection y-axis: (x, y) ( x, y) x-axis: (x, y) (x, y) Rotation 90 clockwise: (x, y)
More informationUnit 2. Properties of Triangles. Unit Bundle
Unit 2 Properties of Triangles Unit Bundle Math 2 Spring 2017 1 Day Topic Homework Monday 2/6 Triangle Angle Sum Tuesday 2/7 Wednesday 2/8 Thursday 2/9 Friday 2/10 (Early Release) Monday 2/13 Tuesday 2/14
More informationEssential Question #1 Is it possible to have two right angles as exterior angles of a triangle? Why or why not?
Essential Question #1 Is it possible to have two right angles as exterior angles of a triangle? Why or why not? Triangles are classified into two categories: Triangles Sides Angles Scalene Equilateral
More informationGeometry Third Quarter Study Guide
Geometry Third Quarter Study Guide 1. Write the if-then form, the converse, the inverse and the contrapositive for the given statement: All right angles are congruent. 2. Find the measures of angles A,
More informationNAME: Date Target Assignment Done! F a/c 6.1 Day 1 Worksheet. M b 6.1 Take Home Quiz. T a 6.2a Worksheet
Unit 6 Triangle Congruence Target 6.1: Demonstrate knowledge of triangle facts 6.1 a Classify triangles by sides and angles 6.1b Properties of isosceles triangles and equilateral triangles 6.1c Construction
More informationGeometry/Trig 2 Unit 4 Review Packet page 1 Part 1 Polygons Review
Unit 4 Review Packet page 1 Part 1 Polygons Review ate: 1) nswer the following questions about a regular decagon. a) How many sides does the polygon have? 10 b) What is the sum of the measures of the interior
More informationPicture: Picture: Picture:
Postulate - Side-Side-Side (SSS) Congruence: If three sides of one triangle are congruent to three sides of a second triangle, then the triangles are congruent. Picture: Postulate - Side-Angle-Side (SAS)
More information15. K is the midpoint of segment JL, JL = 4x - 2, and JK = 7. Find x, the length of KL, and JL. 8. two lines that do not intersect
Name: Period Date Pre-AP Geometry Fall Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1. three non-collinear points 2. one line in three different ways
More informationChapter 4 part 1. Congruent Triangles
Chapter 4 part 1 Congruent Triangles 4.1 Apply Triangle Sum Properties Objective: Classify triangles and find measures of their angles. Essential Question: How can you find the measure of the third angle
More informationGeometry Quarter 4 Test Study Guide
Geometry Quarter 4 Test Study Guide 1. Write the if-then form, the converse, the inverse and the contrapositive for the given statement: All right angles are congruent. 2. Find the measures of angles A,
More informationUsing the Properties of Equality
8.1 Algebraic Proofs (G.CO.9) Properties of Equality Property Addition Property of Equality Subtraction Property of Equality Multiplication Property of Equality Division Property of Equality Distributive
More informationGeometry CP. Unit 4 (Congruency of Triangles) Notes
Geometry CP Unit 4 (Congruency of Triangles) Notes S 4.1 Congruent Polygons S Remember from previous lessons that is something is congruent, that it has the same size and same shape. S Another way to look
More informationLife is what you make it. Mr. H s dad
Life is what you make it. Mr. H s dad You can classify triangles by if their sides are congruent. Scalene Triangle This triangle has no congruent sides. Isosceles Triangle This triangle has at least 2
More informationGeometry Third Quarter Study Guide
Geometry Third Quarter Study Guide 1. Write the if-then form, the converse, the inverse and the contrapositive for the given statement: All right angles are congruent. 2. Find the measures of angles A,
More informationClassifying Angles and Triangles
6 1 NAMING AND CLASSIFYING ANGLES AND TRIANGLES 6 1 Naming and Classifying Angles and Triangles Points, Lines, and Rays In the world of math, it is sometimes necessary to refer to a specific point in space.
More information4.1 TRIANGLES AND ANGLES
4.1 TRIANGLES AND ANGLES polygon- a closed figure in a plane that is made up of segments, called sides, that intersect only at their endpoints, called vertices Can you name these? triangle- a three-sided
More information10) the plane in two different ways Plane M or DCA (3 non-collinear points) Use the figure to name each of the following:
Name: Period Date Pre-AP Geometry Fall 2015 Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1) three non-collinear points (A, C, B) or (A, C, D) or any
More informationShow all of your work on a separate sheet of paper. No work = no credit! Section 4.1: Triangle and Congruency Basics Find m
Name: Period: Unit 4: Triangles Show all of your work on a separate sheet of paper. No work = no credit! Section 1: Triangle and Congruency Basics Find m Geometry Homework 2. 3. Find the value of the variables
More informationTheorems, Postulates, and Properties for Use in Proofs
CP1 Math 2 Name Unit 1: Deductive Geometry: Day 21-22 Unit 1 Test Review Students should be able to: Understand and use geometric vocabulary and geometric symbols (,,, etc) Write proofs using accurate
More informationType of Triangle Definition Drawing. Name the triangles below, and list the # of congruent sides and angles:
Name: Triangles Test Type of Triangle Definition Drawing Right Obtuse Acute Scalene Isosceles Equilateral Number of congruent angles = Congruent sides are of the congruent angles Name the triangles below,
More informationWarm-Up. Find the domain and range:
Warm-Up Find the domain and range: Geometry Vocabulary & Notation Point Name: Use only the capital letter, without any symbol. Line Name: Use any two points on the line with a line symbol above. AB Line
More informationGeometry Level 1 Midterm Review Packet. I. Geometric Reasoning (Units 1 & 2) Circle the best answer.
Geometry Level 1 Midterm Review Packet I. Geometric Reasoning (Units 1 & 2) Circle the best answer. 1. If two planes intersect, then they intersect in exactly one. A segment B line C point D ray 2. Which
More informationUnit 4 Day by Day. Day Sections and Objectives Homework. Monday October and 4.9 Packet Pages 1-3
Unit 4 ay by ay ay Sections and Objectives Homework Monday October 26 U41 4.2 and 4.9 Packet Pages 1-3 Types of triangles, isosceles and equilateral triangles Page 228 (23-31, 35-37) Page 288 (5-10, 17-20,
More information46 Congruence of Triangles
46 Congruence of Triangles Two triangles are congruent if one can be moved on top of the other, so that edges and vertices coincide. The corresponding sides have the same lengths, and corresponding angles
More informationChapter. Triangles. Copyright Cengage Learning. All rights reserved.
Chapter 3 Triangles Copyright Cengage Learning. All rights reserved. 3.3 Isosceles Triangles Copyright Cengage Learning. All rights reserved. In an isosceles triangle, the two sides of equal length are
More informationUse the figure to name each of the following:
Name: Period Date Pre-AP Geometry Fall 2016 Semester Exam REVIEW *Chapter 1.1 Points Lines Planes Use the figure to name each of the following: 1) three non-collinear points 2) one line in three different
More informationChapter 4 Triangles: Congruency & Similarity
1 Chapter 4 Triangles: Congruency & Similarity Concepts & Skills Quilting is a great American pastime especially in the heartland of the United States. Quilts can be simple in nature or as in the photo
More informationUNIT 4 SIMILARITY AND CONGRUENCE. M2 Ch. 2, 3, 4, 6 and M1 Ch. 13
UNIT 4 SIMILARITY AND CONGRUENCE M2 Ch. 2, 3, 4, 6 and M1 Ch. 13 .1 Parallel Lines Objective When parallel lines are cut by a transversal, I will be able t identify angle relationships, determine whether
More informationUnit 5 Triangle Congruence
Unit 5 Triangle Congruence Day Classwork Homework Wednesday 10/25 Unit 4 Test D1 - Proving SAS through Rigid Motions Watch Video Thursday 10/26 Friday 10/27 Monday 10/30 Proving SAS through Rigid Motions
More informationThe SAS Postulate requires the same information as the LL Theorem, so it can be used to prove two right triangles congruent.
State whether each sentence is or false. If false, replace the underlined word or phrase to make a sentence. 1. The vertex angles of an isosceles triangle are false; The base angles of an isosceles triangle
More informationa) Triangle KJF is scalene. b) Triangle KJF is not isosoceles. c) Triangle KJF is a right triangle. d) Triangle KJF is not equiangular.
Geometry Unit 2 Exam Review Name: 1. Triangles ABC and PQR are congruent. Which statement about the triangles is true? a) A R b) C R c) AB RQ d) CB PQ 2. Which figure contains two congruent triangles?
More information4.1 and 4.2 Notes on Classifying Triangles and Angles Measures Name
. and. Notes on Classifying Triangles and Angles Measures Name Polygon: a closed figure made up of segments that do not cross each other except at endpoints. Triangle: a three sided polygon Classifying
More informationAnalytic Geometry. Pick up the weekly agenda sheet and the packet for the week. Find your vocabulary match. This is your new team member.
Happy New Year! Analytic Geometry Pick up the weekly agenda sheet and the packet for the week. Find your vocabulary match. This is your new team member. Unit 1: Similarity, Congruence & Proofs Vocabulary
More informationCongruent triangles/polygons : All pairs of corresponding parts are congruent; if two figures have the same size and shape.
Jan Lui Adv Geometry Ch 3: Congruent Triangles 3.1 What Are Congruent Figures? Congruent triangles/polygons : All pairs of corresponding parts are congruent; if two figures have the same size and shape.
More informationTriangle. Congruence
Triangle Congruence 4A Triangles and Congruence 4-1 Classifying Triangles Lab Develop the Triangle Sum Theorem 4-2 Angle Relationships in Triangles 4-3 Congruent Triangles 4B Proving Triangle Congruence
More informationMathematics II Resources for EOC Remediation
Mathematics II Resources for EOC Remediation G CO Congruence Cluster: G CO.A.3 G CO.A.5 G CO.C.10 G CO.C.11 The information in this document is intended to demonstrate the depth and rigor of the Nevada
More information1. Identify the different parts of a triangle 2. Classify triangles by their angle measures 3. Classify triangles by their side lengths
Lesson 8 Lesson 8, page 1 of 6 Glencoe Geometry Chapter 4.1, 4.2 Classifying Triangles & Angle Measure By the end of this lesson, you should be able to 1. Identify the different parts of a triangle 2.
More informationTriangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º.
Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º. Triangle Sum Theorem The sum of the measures of the three angles of a triangle is 180º. No-Choice Theorem If two
More informationIMPORTANT VOCABULARY. Scalene Triangle. Triangle. SSS ASA SAS AAS sides/angles
1 Geometry Chapter 5 Test Review Standards/Goals: C.1.f.: I can prove that two triangles are congruent by applying the SSS, SAS, ASA, and AAS congruence statements. C.1.g. I can use the principle that
More informationCHAPTER # 4 CONGRUENT TRIANGLES
HPTER # 4 ONGRUENT TRINGLES In this chapter we address three ig IES: 1) lassify triangles by sides and angles 2) Prove that triangles are congruent 3) Use coordinate geometry to investigate triangle relationships
More informationChapter 6.1 Medians. Geometry
Chapter 6.1 Medians Identify medians of triangles Find the midpoint of a line using a compass. A median is a segment that joins a vertex of the triangle and the midpoint of the opposite side. Median AD
More informationGeometry Midterm Study Guide 1. PR! "" is represented by which sketch?
Name: Class: Date: ID: A Geometry Midterm Study Guide 1. PR! "" is represented by which sketch? 2. Draw a labeled diagram for a line. 3. Name three points in the diagram that are not collinear. 5. If m#ioj
More information4-6 Isosceles and Equilateral Triangles. Refer to the figure. 1. If. name two congruent angles. SOLUTION:
Since the measures of all the three angles are 60 the triangle must be equiangular All the equiangular triangles are equilateral FH = GH = 12 Refer to the figure 1 If 4 m MRP name two congruent angles
More informationChapter 2: Properties of Angles and Triangles
Chapter 2: Properties of Angles and Triangles Section 2.1 Chapter 2: Properties of Angles and Triangles Section 2.1: Angle Properties and Parallel Lines Terminology: Transversal : A line that intersects
More informationGeometry eday #2 Assignment
Name Date Score Quadrilaterals Geometry eday #2 Assignment 1. If the diagonals of a quadrilateral are perpendicular bisectors of equal length, then the quadrilateral is a. (Give the strongest condition.)
More informationAPEX PON VIDYASHRAM, VELACHERY ( ) HALF-YEARLY WORKSHEET 1 LINES AND ANGLES SECTION A
APEX PON VIDYASHRAM, VELACHERY (2017 18) HALF-YEARLY WORKSHEET 1 CLASS: VII LINES AND ANGLES SECTION A MATHEMATICS 1. The supplement of 0 is. 2. The common end point where two rays meet to form an angle
More informationUnit 2 Study Guide Topics: Transformations (Activity 9) o Translations o Rotations o Reflections. o Combinations of Transformations
Geometry Name Unit 2 Study Guide Topics: Transformations (Activity 9) o Translations o Rotations o Reflections You are allowed a 3 o Combinations of Transformations inch by 5 inch Congruent Polygons (Activities
More informationSegment Addition Postulate: If B is BETWEEN A and C, then AB + BC = AC. If AB + BC = AC, then B is BETWEEN A and C.
Ruler Postulate: The points on a line can be matched one to one with the REAL numbers. The REAL number that corresponds to a point is the COORDINATE of the point. The DISTANCE between points A and B, written
More informationTriangle Congruence Packet #3
Triangle Congruence Packet #3 Name Teacher 1 Warm-Up Day 1: Identifying Congruent Triangles Five Ways to Prove Triangles Congruent In previous lessons, you learned that congruent triangles have all corresponding
More informationChapter 4: Congruent Triangles
Name : Date Block # Chapter 4: Congruent Triangles Day Topic ssignment all dates are subject to change 1 1 Triangle ngle-sum Theorem pg 221 # 14-28 even 32-34 2- Congruent Figures pg 228 #5-11,26 2 Quiz
More informationUnit 2: Triangles and Quadrilaterals Lesson 2.1 Apply Triangle Sum Properties Lesson 4.1 from textbook
Unit 2: Triangles and Quadrilaterals Lesson 2.1 pply Triangle Sum Properties Lesson 4.1 from textbook Objectives Classify angles by their sides as equilateral, isosceles, or scalene. Classify triangles
More informationProving Theorems about Lines and Angles
Proving Theorems about Lines and Angles Angle Vocabulary Complementary- two angles whose sum is 90 degrees. Supplementary- two angles whose sum is 180 degrees. Congruent angles- two or more angles with
More informationGet Ready. Solving Equations 1. Solve each equation. a) 4x + 3 = 11 b) 8y 5 = 6y + 7
Get Ready BLM... Solving Equations. Solve each equation. a) 4x + = 8y 5 = 6y + 7 c) z+ = z+ 5 d) d = 5 5 4. Write each equation in the form y = mx + b. a) x y + = 0 5x + y 7 = 0 c) x + 6y 8 = 0 d) 5 0
More informationUNIT 9: POLYGONS AND QUADRILATERALS
Name: Period GL UNIT 9: POLYGONS AND QUADRILATERALS I can define, identify and illustrate the following terms: Polygon Regular Polygon Irregular Polygon Concave Convex Quadrilateral Pentagon Monday, 1/28
More informationGeometry Semester 1 REVIEW Must show all work on the Review and Final Exam for full credit.
Geometry Semester 1 REVIEW Must show all work on the Review and Final Exam for full credit. NAME UNIT 1: 1.6 Midpoint and Distance in the Coordinate Plane 1. What are the coordinates of the midpoint of
More informationGeometry Review for Test 3 January 13, 2016
Homework #7 Due Thursday, 14 January Ch 7 Review, pp. 292 295 #1 53 Test #3 Thurs, 14 Jan Emphasis on Ch 7 except Midsegment Theorem, plus review Betweenness of Rays Theorem Whole is Greater than Part
More informationProof: Given ABC XYZ, with A X, B Y, and Our strategy is to show C Z and apply ASA. So, WLOG, we assume for contradiction that m C > m Z.
Theorem: AAS Congruence. If under some correspondence, two angles and a side opposite one of the angles of one triangle are congruent, respectively, to the corresponding two angles and side of a second
More informationGeometry Definitions, Postulates, and Theorems. Chapter 4: Congruent Triangles. Section 4.1: Apply Triangle Sum Properties
Geometry efinitions, Postulates, and Theorems Key hapter 4: ongruent Triangles Section 4.1: pply Triangle Sum Properties Standards: 12.0 Students find and use measures of sides and of interior and exterior
More informationReady to Go On? Skills Intervention 4-1 Classifying Triangles
4 Ready to Go On? Skills Intervention 4-1 lassifying Triangles Find these vocabulary words in Lesson 4-1 and the Multilingual Glossary. Vocabulary acute triangle equiangular triangle right triangle obtuse
More informationTest for the unit is 8/21 Name:
Angles, Triangles, Transformations and Proofs Packet 1 Notes and some practice are included Homework will be assigned on a daily basis Topics Covered: Vocabulary Angle relationships Parallel Lines & Transversals
More informationFind the coordinates of the midpoint of the segment with the given endpoints. Use the midpoint formula.
Concepts Geometry 1 st Semester Review Packet Use the figure to the left for the following questions. 1) Give two other names for AB. 2) Name three points that are collinear. 3) Name a point not coplanar
More informationSemester Test Topic Review. Correct Version
Semester Test Topic Review Correct Version List of Questions Questions to answer: What does the perpendicular bisector theorem say? What is true about the slopes of parallel lines? What is true about the
More informationName: Extra Midterm Review January 2018
Name: Extra Midterm Review January 2018 1. Which drawing best illustrates the construction of an equilateral triangle? A) B) C) D) 2. Construct an equilateral triangle in which A is one vertex. A 3. Construct
More informationGeometry Midterm Review 2019
Geometry Midterm Review 2019 Name To prepare for the midterm: Look over past work, including HW, Quizzes, tests, etc Do this packet Unit 0 Pre Requisite Skills I Can: Solve equations including equations
More informationM2 GEOMETRY REVIEW FOR MIDTERM EXAM
M2 GEOMETRY REVIEW FOR MIDTERM EXAM #1-11: True or false? If false, replace the underlined word or phrase to make a true sentence. 1. Two lines are perpendicular if they intersect to form a right angle.
More information