Question

Hi I need help with this review question.A. yes; Side-Angle-Side triangle similarityB. yes; Angle-Angle triangle similarity C. noD. cannot be determined from the information provided

Answer 1

If two triangles are similar, the ratio between their corresponding sides has to be constant. In our case,

`\begin{gathered} (10)/(20)=(1)/(2) \\ and \\ (6)/(12)=(1)/(2) \end{gathered}`

Therefore, the ratio between the corresponding given sides is constant. Furthermore, both triangles have the same angle regarding size; then, one can prove the similarity of the two figures using the SAS postulate.

The answer is option A. Yes, Side-Angle-Side triangle similarity.