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Oliga [24]
2 years ago
14

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

Mathematics
2 answers:
Nataliya [291]2 years ago
8 0
I hope this helps you

lana [24]2 years ago
4 0

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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