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.

Slides:

Advertisements

Similar presentations

7.4 A Postulate for Similar Triangles. We can prove that 2 triangles are similar by showing that all 3 corresponding angles are congruent, and all 3 sides.

Advertisements

4-4 Using Congruent Triangles: CPCTC

4.4 – Prove Triangles Congruent by SAS and HL Consider a relationship involving two sides, and the angle they form, their included angle. Any time you.

Hypotenuse – Leg Congruence Theorem: HL

4.4 – Prove Triangles Congruent by SAS and HL Consider a relationship involving two sides, and the angle they form, their included angle. Any time you.

GEOMETRY Proving Triangles are Congruent: ASA and AAS.

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

Congruent Polygons. Congruent segments have the same length.

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.

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

4.3 & 4.4 Proving Triangles are Congruent

Chapter 4 Congruent Triangles.

 Figures are congruent if you can slide, flip or turn them.  If you know that two triangles are congruent then you can list their congruent sides and.

Triangle Congruence by ASA and AAS Chapter 4 Section 3.

Monday, October 22, 2012 Homework: p. 211 #28-34 even.

Triangles and Lines – Congruent Triangles Congruent triangles are triangles that share equal corresponding parts.

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.

Unit 2 Part 4 Proving Triangles Congruent. Angle – Side – Angle Postulate If two angles and the included side of a triangle are congruent to two angles.

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

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.

Geometry Sections 4.3 & 4.4 SSS / SAS / ASA

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.

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.

Triangle Proofs. USING SSS, SAS, AAS, HL, & ASA TO PROVE TRIANGLES ARE CONGRUENT STEPS YOU SHOULD FOLLOW IN PROOFS: 1. Using the information given, ______________.

Prove triangles congruent by ASA and AAS

5.2 Proving Triangles are Congruent by SSS and SAS

Proving Triangles are Congruent

4.6: Triangle congruence ASA, AAS, & HL.

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

Similarity Postulates

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?

5.3 Proving Triangles are congruent:

Proving Triangles Congruent: SSS and SAS

Other Methods of 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

4.4 Proving Triangles are Congruent by ASA and AAS

4.5 ASA and AAS Ways to prove 2 triangles congruent:

7-3 Similar Triangles.

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

Class Greeting.

Identifying types and proofs using theorems

CONGRUENT TRIANGLES 2 Triangles are CONGRUENT if they have:

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.

8.3 Methods of Proving Triangles Similar

SSS, SAS, ASA, & AAS Students will prove two triangles are congruent using the SSS, SAS, ASA, & AAS Postulates.

Proving Triangles are Congruent: ASA and AAS

Learn to use the ASA and AAS tests for congruence.

Isosceles/ Equilateral

Objectives Apply ASA, AAS, and HL to solve problems.

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

Postulates and Theorems to show Congruence SSS: Side-Side-Side

Triangle Congruence by ASA and AAS

6-3/6-4: Proving Triangles Similar

(AAS) Angle-Angle-Side Congruence Theorem

4.3 Triangle Congruence by ASA and AAS

4.5 Proving Triangles are Congruent: ASA and AAS

Warm Up 7.4 Is there enough information to prove that the triangles are congruent? If so, state the reason (SSS, SAS, HL, ASA,

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

Presentation transcript:

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 and the length of the included side, you can only make one triangle. So, all triangles with those measurements are congruent.

4.5 – Prove Triangles Congruent by ASA and AAS

Can the triangles be proven congruent with the information given in the diagram? If so, state the postulate or theorem you would use

4.5 – Prove Triangles Congruent by ASA and AAS

Write a proof.

4.5 – Prove Triangles Congruent by ASA and AAS Write a proof.