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#32145

angles

trigonometry

right triangles

similarity

geometry

medium

60 sec

Triangles $X Y Z$ and $U VW$ are similar, with vertices $X$ , $Y$ , and $Z$ corresponding to vertices $U$ , $V$ , and $W$ , respectively. Angle $Y$ and angle $V$ are right angles. Which of the following statements must be true?

A.

$sin (X) = sin (W)$

B.

$tan (Z) = tan (W)$

C.

The ratio of the area of $△ X Y Z$ to the area of $△ U VW$ is equal to $\frac{X Y}{U V}$ .

D.

If $X Y = 3$ and $U V = 6$ , then $sin (X) = 2 sin (U)$ .