Objective: After studying this section, you will be able to apply the no-choice theorem and the AAS theorem.

Slides:

Advertisements

Similar presentations

4-4 Using Congruent Triangles: CPCTC

Advertisements

3.8 The HL Postulate Objective:

6-2: Proving Congruence using congruent parts Unit 6 English Casbarro.

4.4 Proving Triangles are Congruent: ASA and AAS

WARM-UP. SECTION 4.3 TRIANGLE CONGRUENCE BY ASA AND AAS.

Proving Triangles Congruent Advanced Geometry Triangle Congruence Lesson 2.

Chapter 4.5 Notes: Prove Triangles Congruent by ASA and AAS Goal: You will use two more methods to prove congruences.

4.5 – Prove Triangles Congruent by ASA and AAS

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

4.1: CONGRUENT FIGURES Objectives: To recognize congruent figures and their corresponding parts.

SECTION 4.4 MORE WAYS TO PROVE TRIANGLES CONGRUENT.

4-2: Triangle Congruence by SSS and SAS 4-3: Triangle Congruence by ASA and AAS 4-4: Using Corresponding Parts of Congruent Triangles.

DO NOW!!! Solve for “x”..

Proving Triangles Congruent Sections 4-4 and 4-5.

Triangle Congruence by ASA and AAS Chapter 4 Section 3.

Objective: After studying this section, you will be able to use several methods to prove triangles are similar. 8.3 Methods of Proving Triangles Similar.

4.3 Triangle Congruence by ASA and AAS You can prove that two triangles are congruent without having to show that all corresponding parts are congruent.

Section 4.2 Congruence and Triangles. Two figures are congruent if they have exactly the same size and shape.

Geometry Sections 6.4 and 6.5 Prove Triangles Similar by AA Prove Triangles Similar by SSS and SAS.

Chapter 4: Triangle Congruence Missy McCarthy Okemos High School Math Instructor.

Warm Up  For both right triangles, find the value of x. x x

Warm Up. 7.2 Two Proof-Oriented Triangle Theorems.

Triangle Similarity: Angle Angle. Recall Recall the definitions of the following: Similar Congruent Also recall the properties of similarity we discussed.

4.5 – Prove Triangles Congruent by ASA and AAS In a polygon, the side connecting the vertices of two angles is the included side. Given two angle measures.

4-3 Triangle Congruence by ASA and AAS. Angle-Side-Angle (ASA) Postulate If two angles and the included side of one triangle are congruent to two angles.

5.6 Proving Triangle Congruence by ASA and AAS. OBJ: Students will be able to use ASA and AAS Congruence Theorems.

4.4 Proving Triangles are Congruent: ASA and AAS Geometry.

Date: Topic: Proving Triangles Similar (7.6) Warm-up: Find the similarity ratio, x, and y. The triangles are similar. 6 7 The similarity ratio is: Find.

Section Review Triangle Similarity. Similar Triangles Triangles are similar if (1) their corresponding (matching) angles are congruent (equal)

ASA AND AAS CONGRUENCE Section 4.5. Angle-Side-Angle (ASA) Congruence Postulate  If two angles and the included side of one triangle are congruent to.

Two Proof-Oriented Triangle Theorems Lesson 7.2. Theorem 53:If 2 angles of one triangle are congruent to two angles of a second triangle, then the third.

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

4-4 Using Corresponding Parts of Congruent Triangles I can determine whether corresponding parts of triangles are congruent. I can write a two column proof.

Section 4-3 Proving Triangles Congruent by ASA and AAS.

Prove triangles congruent by ASA and AAS

4-2 Triangle Congruence by SSS and SAS

Proving Triangles are Congruent

8.3 Methods of Proving Triangles Similar

Similarity Postulates

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

Inequalities in two triangles

5.3 Proving Triangles are congruent:

Inequalities in Two Triangles

Proving Triangles Congruent

Three ways to prove triangles congruent.

4-3 Triangle Congruence by ASA and AAS

5.3 Proving Triangle Similar

Section 21.2: AAS Triangle Congruence

Proving Triangles Similar

7-3 Similar Triangles.

Applying Similarity Using the Angle-Angle (AA) Criterion (5.3.2)

Section 21.3: HL Triangle Congruence

Section 20.1: Exploring What Makes Triangles Congruent

Proving Triangles Similar.

Proving Triangles are Congruent: ASA and AAS

Congruence and Triangles

Learn to use the ASA and AAS tests for congruence.

7.2 Two Proof-Oriented Triangle theorems

4-6 Congruence in Right Triangles

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

Proving Triangles Similar.

Triangle Congruence by ASA and AAS

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

(AAS) Angle-Angle-Side Congruence Theorem

How can you show that two triangles

4-4/4-5 Proving Triangles Congruent

8.3 Methods of Proving Triangles are Similar Advanced Geometry 8.3 Methods of Proving    Triangles are Similar Learner Objective: I will use several.

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

Inequalities in Two Triangles

Module 16: Lesson 4 AA Similarity of Triangles

Presentation transcript:

Objective: After studying this section, you will be able to apply the no-choice theorem and the AAS theorem.

If two angles of one triangle are congruent to two angles of a second triangle, then the third angles are congruent. (No-Choice Theorem) A B CD E F

If there exists a correspondence between the vertices of two triangles such that two angles and a nonincluded side of one are congruent to the corresponding parts of the other, then the triangles are congruent. (AAS)

Given: A E B C D Prove:

Given: NO T P S Prove: NPRT is a rhombus R

Explain why if two right triangles have a pair of congruent acute angles, then the other pair of acute angles must be congruent. Worksheet