Question

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

Answer 1

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

Step-by-step explanation:

IN the given triangles (ΔQRS and ΔUTV),

m∠R = 29° and m∠T = 29°  (given)

$\dfrac{QR}{UT}=\dfrac{16}{8}=2\\\\\dfrac{SR}{VT}=\dfrac{64}{32}=2\\\\\therefore\dfrac{QR}{UT}=\dfrac{SR}{VT}$

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.