Question

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.

Answer 1

I hope this helps you

Answer 2

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

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 :-

`\Rightarrow k=(18)/(16)=(6.75)/(6)=(22.5)/(20)=(9)/(8)`

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