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21 January, 17:46

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

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  1. 21 January, 17:52
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    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
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