Question

Determine whether the pair of triangles are similar. Then complete the statement.

Answer 1

The triangles are similar by property #3 (SAS similarity theorem).

Explanation:

First, evaluate the ratio of the corresponding sides.

`\begin{gathered} (20)/(8)=2.5 \\ (28)/(11.2)=2.5 \end{gathered}`

Since the ratios are the same, the triangles are similar.

Next, an angle is given in between two sides. Thus, the triangles are similar by the SAS similarity theorem (Property 3).