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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. Yes, WXY ~ ZYV with a scale factor of 9:8.
D. Yes, 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 Yes WXY ZY 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

[tex]\angle {X}=\angle{Y}[/tex]               [Right angle]

[tex]\angle {W}=\angle{Z}[/tex]  

Therefore, by AA- similarity postulate, we have

[tex]\triangle{WXY}\sim\triangle{ZYV}[/tex]

The scale factor is given by :-

[tex]k=\dfrac{WX}{ZY}=\dfrac{XY}{YV}=\dfrac{WY]{ZV}[/tex]

[tex]\Rightarrow k=\dfrac{18}{16}=\dfrac{6.75}{6}=\dfrac{22.5}{20}=\dfrac{9}{8}[/tex]

Hence,  [tex]\triangle{WXY}\sim\triangle{ZYV}[/tex] with scale factor of 9:8 .