Sides of Similar Figures Quick Check

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Question
Use the image to answer the question.

An illustration shows a bigger triangle upper A upper B upper C and a smaller triangle upper D upper E upper F, with labeled sides. On the first triangle, side upper B upper C is the base and is not labeled, side upper A upper B is the hypotenuse labeled as 16, and vertical side upper A upper C on the left is labeled as 12. On the second triangle, side upper E upper F is the base and is not labeled, side upper D upper E is the hypotenuse labeled as x, and vertical side upper D upper F is on the left labeled as 3.

If ΔABC is similar to ΔDEF , and AB= 16, DF= 3, and AC= 12, what is the length of DE ?

(1 point)
Responses

4
4

2.25
2.25

64
64

7

2.25