Question

consider the two triangles. to prove that the triangles are similar by the sas similarity theorem, it needs to be shown that
∠c ≅ ∠c
∠c ≅ ∠g
\frac{ac}{gi}=\frac{bc}{hi}
\frac{ac}{gi}=\frac{bc}{hg}

Explanation:

The SAS (Side - Angle - Side) similarity theorem requires the ratio of corresponding sides to be equal and the included angles to be congruent. Here we focus on side - ratio equality.

Answer:

The correct option for showing similarity by SAS is the one with the correct ratio of corresponding sides. Without proper labeling of sides in the question, we can't pick a specific option from the given ones, but it should be of the form $\frac{\text{side 1}}{\text{corresponding side 1}}=\frac{\text{side 2}}{\text{corresponding side 2}}$.