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} (CQ)/(SQ)=(18)/(63) \\ =(2)/(7) \end{gathered}`
`\begin{gathered} (DQ)/(RQ)=(12)/(42) \\ =(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.