Question

1. tell which of the following triangle provide enough information to show that they must be congruent. if they are congruent, state which theorem suggests they are congruent (sas, asa, sss, aas, hl) and write a congruence statement. drag the purple border around the reason for congruence. circle one of the following: sss sas asa aas hl not enough information circle one of the following: sss sas asa aas hl not enough information circle one of the following: sss sas asa aas hl not enough information

Explanation:

Step1: Analyze first - pair of triangles

In the first pair of triangles, we have two pairs of angles equal and the included side equal. So, by the ASA (Angle - Side - Angle) congruence theorem, they are congruent.

Step2: Analyze second - pair of triangles

In the second pair of triangles, we have three pairs of sides equal. So, by the SSS (Side - Side - Side) congruence theorem, they are congruent.

Step3: Analyze third - pair of triangles

In the third pair of triangles, we have two pairs of sides equal and the included angle equal. So, by the SAS (Side - Angle - Side) congruence theorem, they are congruent.

Answer:

1. ASA
2. SSS
3. SAS