Question

Which of the following verifies that A COW is similar to APIG?Gw2115751Oс412PA. SAS theoremB. Similarity cannot be determined.C. SSS theoremD. AA postulateOkay

Answer 1

In the two triangles COW and PIG, take the ratio of sides as follows:

$\begin{gathered} \frac{CW}{GP}=\frac{7}{21}=\frac{1}{3} \\ \frac{CO}{PI}=\frac{4}{12}=\frac{1}{3} \\ \frac{OW}{IG}=\frac{5}{15}=\frac{1}{3} \end{gathered}$

From the ratio it follows that the ratio of sides of the two triangles is equal, hence the triangles are similar by SSS theorem.

Option C is correct.