Question

According to the diagram below, which similarity statements are true?

Check all that apply
​

Answer 1

it is indeed ACD

Explanation:

Answer 2

A, C, D

Explanation:

Consider right triangles PQS, PRQ and QRS. In these triangles,

`m\angle QPS=m\angle QPR=m\angle SQR\\ \\m\angle QSR=m\angle PQR=m\angle QSR`

So, by AA theorem,

`\triangle PQS\sim \triangle PRQ\sim \triangle QRS`

From this statement, strictly follow options A and D

`\triangle PQR\sim \triangle PSQ\\ \\\triangle PQS\sim \triangle QRS`

Option B is false, because PRS is not a triangle

Option C is true, because

`\triangle PRQ\sim \triangle QRS\Rightarrow \triangle PQR\sim \triangle QSR`