Question

In triangle VWX, VW = 4.5 inches, WX = 5.9 inches, Measure of angle W = 28 degrees, and Measure of angle X = 47 degrees. If Triangle P Q R is congruent to triangle W V X, which statement is true?
QR = 4.5 cm
QR = 5.9 cm
Measure of angle R = 28 degrees
Measure of angle R = 47 degrees

Answer 1

Answer:

There are two statements that are true:

B. QR = 5.9 cm

D. Measure of angle R = 47 degrees

Step-by-step explanation:

1. Let's recall that if ΔVWX ≅ ΔPQR, then:

VW ≅ PQ

WX ≅ QR

PR ≅ VX

therefore, QR is 5.9 cm and not 4.5 cm

2. Let's recall that if ΔVWX ≅ ΔPQR, then:

∠V ≅ ∠P

∠W ≅ ∠Q

∠X ≅ ∠R

therefore, measure of ∠R is 47° and not 28°

There are two statements that are true:

B. QR = 5.9 cm

D. Measure of angle R = 47 degrees