Congruent Triangles.

Slides:

Advertisements

Similar presentations

4-4 & 4-5: Tests for Congruent Triangles

Advertisements

Congruent Polygons. Congruent segments have the same length.

Chapter 4: Congruent Triangles Lesson 4-4: Using Congruent Triangles: CPCTC Goal: Use triangle congruence and CPCTC to prove that parts of two congruent.

I can identify corresponding angles and corresponding sides in triangles and prove that triangles are congruent based on CPCTC.

Objectives: - Explore triangle rigidity - Develop three congruence postulates Warm-Up: Triangles QRS and FDE are congruent. Write all pairs of corresponding.

ADVANCED GEOMETRY 3.1/2 What are Congruent Figures? / Three ways to prove Triangles Congruent. Learner Objective: I will identify the corresponding congruent.

Notes Over Congruence When two polygons are ___________their corresponding parts have the _____ _______. congruent same measure 1. Name the corresponding.

Lesson: 9 – 3 Similar Triangles

Congruent Polygons Sec 6.5 GOALS: To identify congruent polygons.

Congruent Triangles Congruency statements and why triangles are congruent.

Proving Triangles are Congruent: SSS and SAS Sec 4.3

4-1: Congruent Figures.  Congruent Polygons  Have congruent corresponding parts  Must list corresponding vertices in the same order when naming. Congruent.

CONGRUENT TRIANGLES First, let’s start with congruent polygons (general). What makes two polygons congruent? ALL of the parts of one polygon are congruent.

4-2 Triangle Congruence by SSS and SAS

5.2 Proving Triangles are Congruent by SSS and SAS

Proving Triangles are Congruent

5.1 Exploring What Makes Triangles Congruent

Bell Ringer 10/21/

Similarity in Triangles

Featuring ASA and AAS (angle-side-angle and angle-angle-side)

Homework Questions.

Proving Triangles Congruent: SSS and SAS

3.2 Three Ways To Prove Triangles Congruent

Proving Triangles Congruent

Three ways to prove triangles congruent.

(4.2) Triangle Congruence by SSS and SAS

CHAPTER 4: CONGRUENT TRIANGLES

Lessons 25, 28, 30, & 36: Proving Triangles Congruent

Unit 1 Chapter 2 Lesson 2 Congruence Pg. 107.

Proving Triangles Similar Same idea as polygons

4-2 Some Ways to Prove Triangles Congruent (p. 122)

7-4 and 7-5: Postulates and Theorems for Similar Triangles.

4.2 Triangle Congruence by SSS and SAS

Triangle Congruence.

Chapter 4.2 Notes: Apply Congruence and Triangles

Identifying types and proofs using theorems

Lesson 8.5 Congruent Polygons

Unit 1 Chapter 2 Lesson 2 Congruence Pg. 107.

Chapter 4: Corresponding Parts in Congruence

ASA and SAS Triangle Congruence Theorems

4.1 Congruent Figures -Congruent Polygons: have corresponding angles and sides -Theorem 4.1: If 2 angles of 1 triangle are congruent to 2 angles of another.

Unit 5: Triangles 4-1 Congruent Figures.

Unit 5: Triangles 4-1 Congruent Figures.

Proving Triangles Similar.

Agenda Investigation 8-3 Proving Triangles are Similar Class Work

Explaining SAS, ASA, and SSS

Lucas Dougherty.

Congruence and Triangles

Get out your Module 4 quiz and

Learn to use the ASA and AAS tests for congruence.

5.2 ASA Triangle Congruence

Lesson Similarity of Triangles

4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS

Proving Triangles Similar.

Warmup Write a congruence statement for the triangles.

Similar Similar means that the corresponding sides are in proportion and the corresponding angles are congruent. (same shape, different size)

Congruence Congruent () figures have the same size and shape.

Agenda Investigation 8-3 Proving Triangles are Similar Class Work

Congruence Lesson 9-5.

Properties of Triangle Congruence

Angle and side Relationships

Warm Up 1 ( Write a congruence statement

Congruent Triangles.

4-4/4-5 Proving Triangles Congruent

Proving Triangles Congruent

4-2 Triangle congruence by sss & sas

4-1 Congruent Figures 4-2 Triangle Congruence by SSS and SAS

Module 16: Lesson 4 AA Similarity of Triangles

Presentation transcript:

Congruent Triangles

NOT THE OTHER ONE.. SSS ASA SAS We have learned about Congruent Polygons Congruency Statements lead to corresponding angles and sides Congruent simply means the same size and shape We will now expand this to study Congruent Triangles We will use three acronyms………. SSS ASA SAS NOT THE OTHER ONE..

Congruent Triangles If two figures are exactly the same size and shape, they are congruent. Two triangles are congruent if the following corresponding parts of two triangles are congruent. Three Sides (SSS) Two angles and the included side (ASA) Two sides and the included angle (SAS)

Example Determine whether the triangles are congruent. If so, write a congruence statement and tell why D B C A E

Determine whether the triangles are congruent Determine whether the triangles are congruent. If so, write a congruence statement and tell why S P J K M L Q U T R 2 mm

Find the value of “x” in the following congruent triangle 60° (4x – 20)° 6 ft 2 yds

Homework Congruent Triangles Worksheet