PLEASE HELP ME!!!!! Using side lengths only, could the triangles be similar? Triangle X Y Z. Side X Y is 1.5, X Z is 1, Z Y is 2. Triangle Q

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PLEASE HELP ME!!!!! Using side lengths only, could the triangles be similar? Triangle X Y Z. Side X Y is 1.5, X Z is 1, Z Y is 2. Triangle Q S R. Side Q R is 1, R S is 1.5, S Q is 0.5. No, StartFraction 0.5 Over 1 EndFraction not-equals StartFraction 1 Over 1.5 EndFraction not-equals StartFraction 1.5 Over 2 EndFraction. Yes, StartFraction 0.5 Over 1 EndFraction = StartFraction 0.5 Over 1 EndFraction. Yes, One-half = StartFraction 0.5 Over 1 EndFraction. Yes, StartFraction 1.5 Over 1 EndFraction = StartFraction 2 Over 1.5 EndFraction.

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  1. Answer:

    • No. The ratios are different

    Step-by-step explanation:

    ΔXYZ

    • XY = 1.5, XZ = 1, ZY = 2

    Δ QSR

    • QR =1, RS = 1.5, SQ = 0.5

    Ratios:

    • XY/SQ = 1.5/0.5
    • XZ/QR = 1/1  
    • ZY/RS = 2/1.5

    The answer is no, because ratios are different

    Correct choice is A

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