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slamgirl [31]
3 years ago
7

According to the diagram below, which similarity statements are true?Check all that apply​

Mathematics
1 answer:
Dovator [93]3 years ago
5 0

Answer:

A, C, D

Step-by-step 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

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