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?
a. QR = 4.5 cm
b. QR = 5.9 cm
c. Measure of angle R = 28 degrees
d. Measure of angle R = 47 degrees

b.QR = 5.9 cm

d.Measure of angle R = 47 degrees

Step-by-step explanation:

we know that

If two triangles are congruent, then its corresponding angles and corresponding sides are congruent'

we have

Triangle PQR≅ Triangle VWX

so

corresponding sides

PQ≅VW

QR≅WX

PR≅VX

corresponding angles

∠P≅∠V

∠Q≅∠W

∠R≅∠X

Verify each statement

a.QR = 4.5 cm

we know that

QR≅WX

and

WX=5.9 cm

therefore

The statement is false

b.QR = 5.9 cm

we know that

QR≅WX

and

WX=5.9 cm

therefore

The statement is true

c. Measure of angle R = 28 degrees

we know that

∠R≅∠X

we have

∠X=47°

therefore

The statement is false

d.Measure of angle R = 47 degrees

we know that

∠R≅∠X

we have

∠X=47°

therefore

The statement is true