Question

State whether the triangles are similar. If they are, write a similarity statement and the postulate or theorem you used.

Given: m∠R = 29° and m∠T = 29°

Answer 1

Answer: Correct option: B. ΔQRS ≈ ΔUTV, SAS

Explanation:

IN the given triangles (ΔQRS and ΔUTV),

m∠R = 29° and m∠T = 29° (given)

`(QR)/(UT)=(16)/(8)=2\\\\(SR)/(VT)=(64)/(32)=2\\\\\therefore(QR)/(UT)=(SR)/(VT)`

By SAS similarity rule , ΔQRS ≈ ΔUTV .

Correct option: B. ΔQRS ≈ ΔUTV, SAS

• The SAS similarity theorem says that if 2 sides in a triangle are proportional to 2 sides in another triangle and the included angle in both are congruent, then the 2 triangles are similar.