Question

Determine whether each pair of triangles is similar. Justify your answer.

a. Yes; ADFE - AHFG by SAS Similarity
b. Yes; ADFE - AHFG by SSS Similarity
c. Yes; ADFE - AGFH by SAS Similarity
d. No; there is not enough information to determine similarity

Answer 1

Yes, the triangles ADFE and AHFG are similar by SAS similarity.

Step-by-step explanation:

To determine whether each pair of triangles is similar, we need to compare their corresponding sides and angles. In option a, the triangles ADFE and AHFG are similar by SAS (Side-Angle-Side) similarity because their corresponding sides AD and AH are proportional, and their corresponding angles D and H are congruent. Therefore, the answer is Yes.