Question

What additional information is needed to prove the triangles similar by the SAS Similarity Criterion?​

Answer 1

if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.

Answer 2

• Option C

Explanation:

SAS requires two sides have same ratio and the included angle to be congruent.

We are given two sides with ratio:

• GH/IR = 8/12 = 2/3
• FH/SR = 12/18 = 2/3

The missing information is the congruence of the included angle:

• ∠H ≅ ∠ R

Correct answer choice is C