Question

Name the postulate or theorem that proves each pair of triangles similar. Explain your reasoning.

Answer 1

The postulate or theorem that proves each pair of triangles similar is Side-Angle-Side similarity theorem.

`\begin{gathered} \text{Tan }\angle M=(15)/(21)=(5)/(7) \\ \text{Tan }\angle L=(15+5)/(28)=(20)/(28)=(5)/(7) \end{gathered}`

Since angle M and angle L are acute, then

`\angle M\cong\angle L`