4.4 Proving Triangles are Congruent by ASA and AAS

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Presentation transcript:

4.4 Proving Triangles are Congruent by ASA and AAS Definite ASA and AAS

Angle-Side-Angle (ASA) If two angles and a side between them are congruent in two different triangles, then the triangles are congruent. Since

Angle-Angle-Side If two angles and a side not between them are congruent in two different triangles, then the triangles are congruent. Since

Are The Triangles congruent?

Given: M is the midpoint of Prove:

Given: M is the midpoint of Prove: #2. #2. Def. of Midpoint #3. #3. AAS

Given: M is the midpoint of Prove: #2. #2. Def. of Midpoint #3. #3. AAS

Given: M is the midpoint of Prove: #2. #2. Def. of Midpoint #3. #3. AAS

Given: M is the midpoint of Prove: #2. #2. Def. of Midpoint #3. #3. AAS

Given: M is the midpoint of Prove: #2. #2. Def. of Midpoint #3. #3. AAS

Given: Prove: #1. #1. Given #2. #2. Def of Angle Bisector #3. #3. Reflexive #4. #4. ASA

Given: Prove: #1. #1. Given #2. #2. Def of Angle Bisector #3. #3. Reflexive #4. #4. ASA

Given: Prove: #1. #1. Given #2. #2. Def of Angle Bisector #3. #3. Reflexive #4. #4. ASA

Given: Prove: #1. #1. Given #2. #2. Def of Angle Bisector #3. #3. Reflexive #4. #4. ASA

Given: Prove: #1. #1. Given #2. #2. Def of Angle Bisector #3. #3. Reflexive #4. #4. ASA

Given: Prove: #1. #1. Given #2. #2. Def of Angle Bisector #3. #3. Reflexive #4. #4. ASA

Given: Prove: #1. #1. Given #2. #2. Def of Angle Bisector #3. #3. Reflexive #4.

Given: Prove: #1. #1. Given #2. #2. Def of Angle Bisector #3. #3. Reflexive #4. #4. ASA

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Homework Page 224 – 225 # 21, 22, 26, 27, Page 227 # 7