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(4.2)/(4.3) Triangle Congruence by SSS, SAS, ASA, or AAS Learning Target: To be able to prove triangle congruency by SSS, SAS, ASA, or AAS using proofs.

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Presentation on theme: "(4.2)/(4.3) Triangle Congruence by SSS, SAS, ASA, or AAS Learning Target: To be able to prove triangle congruency by SSS, SAS, ASA, or AAS using proofs."— Presentation transcript:

1 (4.2)/(4.3) Triangle Congruence by SSS, SAS, ASA, or AAS Learning Target: To be able to prove triangle congruency by SSS, SAS, ASA, or AAS using proofs. Purpose: After proving triangle congruency using SSS, SAS, ASA, or AAS, then you are able to prove corresponding parts of congruent triangles congruent.

2 Congruent Triangles Postulate 4-1: Side-Side-Side (SSS) Postulate: If the three sides of one triangle are congruent to the three sides of another triangle, then the two triangles are congruent.

3 Proving Triangles Congruent
F H J K Statements Reasons 1. 2. 3. 4.

4 Proving Triangles Congruent
B D A C Statements Reasons 1. 2. 3.

5 Congruent Triangles Postulate 4-2: Side-Angle-Side (SAS) Postulate: If two sides and an included angle of one triangle are congruent to two sides and an included angle of another triangle, then the two triangles are congruent.

6 Proving Triangles Congruent
Can you use the following information to prove the triangles congruent? A E B C D Not enough information to prove triangles congruent!!

7 Proving Triangles Congruent
Can you use the following information to prove the triangles congruent? A E B C D Statements Reasons 1. 2. 3.

8 Congruent Triangles Postulate 4-3: Angle-Side-Angle (ASA) Postulate: If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

9 Proving Triangles Congruent
Statements Reasons 1. 2. 3. 9

10 Congruent Triangles Theorem 4-2: Angle-Angle-Side (AAS) Theorem: If two angles and a nonincluded side of one triangle are congruent to two angles and the corresponding nonincluded side of another triangle, then the triangles are congruent.

11 Proving Triangles Congruent
Statements Reasons 1. 2. 3. 4. Alternate Interior Angles Theorem 11

12 (4.2)/(4.3) Triangle Congruence by SSS, SAS, ASA, or AAS
Homework 1. (4.2) Pgs , 6-9 a, a, a, a Due: next class 2. (4.3) Pg a, 10, 11, a, 21 Due: next class 3. Sticker #2 Due: Thurs. or Fri. 4. Portfolio Due: Fri. (1/18) for odd and Tues. (1/22) for even 5. All Study Island Due: Fri. 3/8/13 6. Update 3 x 5 cards


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