SAT Math Multiple Choice Practice Question 434: Answer and Explanation

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Question: 434


Note: Figure not drawn to scale.

In the figure above, || . If the length of is 3, what is the length of ?

A. 3
B. 4
C. 5
D. 3
E. It cannot be determined from the information given.

Correct Answer: A


A Keep in mind that this figure is not drawn to scale. Because , you know that the following angles are equal: ∠DCE, ∠CEA, ∠BCA, ∠CAE. Because triangle ACE has two equal angles, it is isosceles and the sides opposite those angles are also equal. Therefore, CE = AC = 3.

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