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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