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SAT Math Practice Question #40527 - SATify | SATify

#40527

similarity

geometry

hard

120 sec

In the figure shown, $\overline{W Z}$ and $\overline{X Y}$ intersect at point $Q$ . Angles $W$ and $Y$ are congruent, and angles $W QX$ and $Y QZ$ are vertical angles. Which of the following statements must be true?

A.

$△ W QX$ and $△ Y QZ$ are congruent.

B.

$∠ QX W$ is congruent to $∠ QZ Y$ .

C.

$\overline{W X}$ is parallel to $\overline{Y Z}$ .

D.

The ratio of the area of $△ W QX$ to the area of $△ Y QZ$ is equal to the ratio of $W Q$ to $Y Q$ .