Question

for each pair of triangles, select the triangle congruence theorem that could be used to prove the triangles are congruent. sss sas asa aas

Explanation:

Step1: Recall congruence theorems

SSS (Side - Side - Side) means all three sides of one triangle are equal to the corresponding three sides of another triangle. SAS (Side - Angle - Side) means two sides and the included angle of one triangle are equal to the corresponding two sides and included angle of another triangle. ASA (Angle - Side - Angle) means two angles and the included side of one triangle are equal to the corresponding two angles and included side of another triangle. AAS (Angle - Angle - Side) means two angles and a non - included side of one triangle are equal to the corresponding two angles and non - included side of another triangle.

Step2: Analyze each pair of triangles

For the first pair, if two sides and the included angle are marked equal, it's SAS. For the second pair, if two angles and the included side are marked equal, it's ASA. For the third pair, if all three sides are marked equal, it's SSS. For the fourth pair, if two angles and a non - included side are marked equal, it's AAS.

Answer:

For the first pair: SAS
For the second pair: ASA
For the third pair: SSS
For the fourth pair: AAS