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

We have two angles and the included side equal. By the ASA (Angle - Side - Angle) congruence theorem, if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, the triangles are congruent.

Step2: Analyze second - pair of triangles

We have two sides and the included angle equal. By the SAS (Side - Angle - Side) congruence theorem, if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent.

Step3: Analyze third - pair of triangles

We have three sides equal. By the SSS (Side - Side - Side) congruence theorem, if three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent.

Answer:

1. ASA
2. SAS
3. SSS