Prove triangles congruent by ASA and AAS

Slides:

Advertisements

Similar presentations

4.5 Proving Δs are  : ASA and AAS & HL

Advertisements

4-4 Using Congruent Triangles: CPCTC

Hypotenuse – Leg Congruence Theorem: HL

GEOMETRY Proving Triangles are Congruent: ASA and AAS.

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

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

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

4.3 & 4.4 Proving Triangles are Congruent

Proving Triangles Congruent

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

Triangle Congruence by ASA and AAS Chapter 4 Section 3.

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.

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 Week 4 Describe what each acronym means: 1) AAA2) AAS 3) SSA4) ASA.

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

CHAPTER 4 SECTION 2 Triangle Congruence by SSS and SAS.

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.

For 9 th /10 th grade Geometry students Use clicker to answer questions.

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.

4.3 TRIANGLE CONGRUENCE BY ASA AND AAS TO PROVE TRIANGLE CONGRUENCE BY ASA POSTULATE AND AAS THEOREM.

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.

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.

Holt McDougal Geometry 4-6 Triangle Congruence: ASA, AAS, and HL Angle Side Angle, Angle Angle Side Triangle Congruence.

Objectives Apply ASA, AAS, and HL to construct triangles and to solve problems. Prove triangles congruent by using ASA, AAS, and HL.

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

Honors Geometry Section 4.3 cont. Using CPCTC. In order to use one of the 5 congruence postulates / theorems ( )we need to show that 3 parts of one triangle.

Warm Up 1.) Find the measure of the exterior angle.

Triangle Congruence Theorems

Geometry-Part 7.

Proving Triangles are Congruent

Proving Triangles Congruent

4.6: Triangle congruence ASA, AAS, & HL.

Sections 6.3 & 6.4 Proving triangles are similar using AA, SSS, SAS

Similarity Postulates

Triangle Congruence HL and AAS

Aim: How do we prove triangles congruent using the Angle-Angle-Side Theorem? Do Now: In each case, which postulate can be used to prove the triangles congruent?

Triangle Congruence Theorems

Proving Triangles Congruent

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

4.4 Hypotenuse-Leg (HL) Congruence Theorem

5.3 Proving Triangles are congruent:

Proving Triangles Congruent: SSS and SAS

Other Methods of Proving Triangles Congruent

Proving Triangles Congruent

Three ways to prove triangles congruent.

4-3 Triangle Congruence by ASA and AAS

4-4 and 4-5: Congruent Triangle Theorems

5.6 Proving Triangle Congruence by ASA & AAS

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

What if we enlarged the rectangle by a scale of 2:1, what is the area then? Rectangle C 2 cm 5 cm Example 2.

Triangle Congruence HL and AAS

Identifying types and proofs using theorems

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.

Get out your Module 4 quiz and

Learn to use the ASA and AAS tests for congruence.

5.2 ASA Triangle Congruence

4-6 Congruence in Right Triangles

Warmup Write a congruence statement for the triangles.

Triangle Congruence by ASA and AAS

(AAS) Angle-Angle-Side Congruence Theorem

Proving Triangles are Congruent

4.5 Proving Triangles are Congruent: ASA and AAS

Warm Up 1 ( Write a congruence statement

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.

4-2 Triangle congruence by sss & sas

Presentation transcript:

Prove triangles congruent by ASA and AAS Geometry Section 4.5 Prove triangles congruent by ASA and AAS

Angle-Side-Angle (ASA) Congruence Postulate If two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.

Angle-Angle-Side (AAS) Congruence Theorem If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

Examples Examples

Assignment Section 4.5 Page 253 Problems # 4-20 even, 32, 34