Question

Triangle QRS is a right triangle.

ΔSTR ~ Δ____

A. ΔTQR
B. ΔRST
C. ΔSQR
D. ΔRTQ

Answer 1

The answer is C.

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

By AA test for similarity,
∆STR is similar to ∆SRQ.

Answer 2

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.