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4 votes
Triangle QRS is a right triangle.

ΔSTR ~ Δ____

A. ΔTQR
B. ΔRST
C. ΔSQR
D. ΔRTQ

Triangle QRS is a right triangle. ΔSTR ~ Δ____ A. ΔTQR B. ΔRST C. ΔSQR D. ΔRTQ-example-1

2 Answers

4 votes
The answer is C.

∠STR = ∠SRQ = 90° (given) (A)
∠RST = ∠RSQ (common angle) (A)

By AA test for similarity,
∆STR is similar to ∆SRQ.
User Wojciech Jakubas
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8.4k points
3 votes

Answer: C. ΔSQR

Explanation:

In
\triangle{STR} and
\triangle{SQR}, we have


\angle{TSR}\cong\angle{OSR}\\\\\angle{STR}\cong\angle{QRS}=90^(\circ)

By AA- similarity postulate , we get


\triangle{STR}\sim\triangle{SQR}

  • AA-similarity postulate says that two triangles are said to be similar if they have two corresponding angles that are congruent or equal in measure.
User Rafaame
by
8.2k points