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

A.PQR ~ PSQ
B.PQR ~ QSR
C.PQS ~ QRS
D.PQR ~ PRS"

"According to the diagram below, which similarity statements are true? A.PQR-example-1

2 Answers

2 votes

Answer:

Explanation:

/\ PQR ~ /\ PSQ

/\ PQR ~ /\ QSR

/\ PQS ~ /\ QRS

AP3X POG

User Peter Kostov
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Answer: C. ΔPQS ~ ΔQRS


Explanation:

In the given picture, we can see Δ PQS is a right triangle right angled at Q, with R as altitude.

Thus, Δ PQR and ΔQRS are right triangles right angles at R.

Now, In Δ PQS and ΔQRS

∠ PSQ=∠RSQ and ∠PQS=∠QRS → corresponding angles are equal

ΔPQS ~ ΔQRS [by AA similarity criteria]

Rest of other options do not have corresponding angles congruent .


User Stratedge
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8.0k points