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Is WXY ~ ZYV? Justify your answer. The image is not drawn to scale.

ANo, the sides are not in proportion.
BNo, the corresponding angles are not congruent.
CYes, WXY ~ ZYV with a scale factor of 9:8.
DYes, WXY ~ ZYV with a scale factor of 8:9.

Is WXY ZYV? Justify your answer. The image is not drawn to scale. A. No, the sides are not in proportion. B. No, the corresponding angles are not congruent. C. class=

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JeanaShupp

Answer: C. Yes, WXY ~ ZYV with a scale factor of 9:8.

Step-by-step explanation:

In the given picture, we have two triangles Δ WXY and Δ ZYV in which

\(\angle {X}=\angle{Y}\)               [Right angle]

\(\angle {W}=\angle{Z}\)  

Therefore, by AA- similarity postulate, we have

\(\triangle{WXY}\sim\triangle{ZYV}\)

The scale factor is given by :-

\(k=\dfrac{WX}{ZY}=\dfrac{XY}{YV}=\dfrac{WY]{ZV}\)

\(\Rightarrow k=\dfrac{18}{16}=\dfrac{6.75}{6}=\dfrac{22.5}{20}=\dfrac{9}{8}\)

Hence,  \(\triangle{WXY}\sim\triangle{ZYV}\) with scale factor of 9:8 .

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