TODAY IN GEOMETRY…  Go over proofs from HW #5  4.4 WS Warm Up  Learning Goal: 4.5 You will use postulates Angle-Side-Angle and Angle-Angle-Side to prove.

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Proving Triangles Congruent

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Presentation transcript:

TODAY IN GEOMETRY…  Go over proofs from HW #5  4.4 WS Warm Up  Learning Goal: 4.5 You will use postulates Angle-Side-Angle and Angle-Angle-Side to prove triangles are congruent  Independent practice

STATEMENT REASON 1. Given 2. Definition of bisector 3. Reflexive Property 4. SAS HOMEWORK #5: PG. 243, #35

STATEMENT REASON 1. Given 2. Definition of right triangle 3. Reflexive Property 4. HL HOMEWORK #5: PG. 243, #37

WARM UP: (15 minutes)15 minutes 4.4 WORKSHEET We will review solutions as a class

So far we have learned the following congruence postulates: SSS SASHL Only for right triangles NEXT… ASA and AAS

ANGLE-SIDE-ANGLE (ASA):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 triangles are congruent. S A A

ANGLE-ANGLE-SIDE (AAS): 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. A A S

Identify the proper postulate from the following pictures to prove triangles are congruent. SSS SAS HL ASA AAS

ASA S A A

SAS A S S

SSS S S S

AAS A S A

STATEMENT REASON 1. Given 2. Reflexive Property 3. AAS

HOMEWORK #6: Pg. 252: 3-5, 8-13,18-20, 33, 34, If finished, work on other assignments: HW #1: 221: 1-26, 32, HW #2: Advanced Angles WS HW #3: Pg. 228: 3-10, 15-16, Pg. 231: HW #4: Pg. 236: 5, 7, 9-12, 24, 26 (Graph paper needed) HW #5: Pg. 236: 3-15, 20-22, 25-27, 35, 37-38