Question

"Determine which theorem will prove the following figures are similar."-SSS-SAS-AA-ASA

Answer 1

If we calculate the similarity ratio of these triangles:

*Similarity ratio, also called scale factor is the ratio between their sides

`\begin{gathered} SF=\frac{length\text{triangle ZYG}}{\text{length triangle BRP}} \\ SF=(42)/(21)=2 \\ SF=(96)/(48)=2 \\ SF=(56)/(28)=2 \end{gathered}`

The triangles have a similarity ratio of 2, that means its sides are congruent then they would be similar by the theorem SSS (Side-Side-Side)