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4.4 Proving Triangles are Congruent by ASA and AAS

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Presentation on theme: "4.4 Proving Triangles are Congruent by ASA and AAS"— Presentation transcript:

1 4.4 Proving Triangles are Congruent by ASA and AAS
Definite ASA and AAS

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

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

4 Are The Triangles congruent?

5 Given: M is the midpoint of Prove:

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

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

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

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

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

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

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

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

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

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

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

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

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

19 Homework Page 223 – 224 #

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


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