Question

State if the triangles in each pair are similar. If so, state how youknow they are similar.A) not similarC) similar; AA similarityB) similar; SSS similarityD) similar; SAS similarity

Answer 1

Determine the ratio of corresponding sides of triangle CQD and triangle SQR.

$\begin{gathered} \frac{CQ}{SQ}=\frac{18}{63} \\ =\frac{2}{7} \end{gathered}$$\begin{gathered} \frac{DQ}{RQ}=\frac{12}{42} \\ =\frac{2}{7} \end{gathered}$

The angle CQD is equal to angle RQS as both are vertically opposite angle.

Thus triangle CQD is similar to triangle SQR by SAS similarity.

Option D is correct.