Question

Which statement about ARST and AMNP must be true?​

Answer 1

C) ΔRST ~ ΔMNP

Explanation:

Similar triangles:

Here, the two triangles are similar by AAA similarity.

In ΔRST,

∠S + 90 + 61 = 180 {Angle sum property of triangle}

∠S = 180 - 151

∠S = 29°

In ΔMNP,

∠P = 180 - (90 + 29) {Angle sum property of Δ}

= 180 - 119

= 61°

In both triangles,

∠R ≅ ∠M = 90°

∠S ≅ ∠N = 29°

∠T ≅ ∠P = 61°

ΔRST and ΔMNP are similar triangles by AAA similarity.