Question

triangle congruence worksheet
for each pair to triangles, state the postulate or theorem that can be used to conclude that the triangles are congruent.

1. sas
2. sss
3. asa
4. asa
5. asa

6.
7.
8.
9.
10.
11.
12.

Explanation:

Step1: Recall triangle - congruence postulates and theorems

The main triangle - congruence postulates and theorems are SSS (Side - Side - Side), SAS (Side - Angle - Side), ASA (Angle - Side - Angle), AAS (Angle - Angle - Side), and HL (Hypotenuse - Leg for right - triangles). We need to identify which one applies to each pair of triangles based on the marked congruent sides and angles.

Step2: Analyze each pair

1. For the first pair with marked angle between two marked sides, it's SAS.
2. For the second pair with all three sides marked congruent, it's SSS.
3. For the third pair with an angle - side - angle marked congruent, it's ASA.
4. For the fourth pair with an angle - side - angle marked congruent, it's ASA.
5. For the fifth pair with an angle - side - angle marked congruent, it's ASA.
6. For the sixth pair with an angle - side - angle marked congruent, it's ASA.
7. For the seventh pair with an angle - angle - side marked congruent, it's AAS.
8. For the eighth pair with an angle between two marked sides, it's SAS.
9. For the ninth pair with an angle - side - angle marked congruent, it's ASA.
10. For the tenth pair with an angle - angle - side marked congruent, it's AAS.
11. For the eleventh pair with an angle - side - angle marked congruent, it's ASA.
12. For the twelfth pair with all three sides marked congruent, it's SSS.

Answer:

1. SAS
2. SSS
3. ASA
4. ASA
5. ASA
6. ASA
7. AAS
8. SAS
9. ASA
10. AAS
11. ASA
12. SSS