# Quadrilateral ABCD is dilated by a scale factor of 2 centered around (2, 2). Which statement is true about the dilation?

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## Question:

Quadrilateral ABCD is dilated by a scale factor of 2 centered around (2, 2). Which statement is true about the dilation?B’D’ will run through (2, 2) and will be shorter than BD.
B’D’ will run through (2, 2) and will be longer than BD.
B’D’ will be parallel to BD and will be shorter than BD
B’D’ will be parallel to BD and will be longer than BD
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B’D’ will run through (2, 2) and will be longer than BD.

Step-by-step explanation:

The dilation with center of dilation at (2,2) by a scale factor of 2 has the rule

Hence, the images of vertices have coordinates

Connect points A’, B’, C’ and D’ to get image quadrilateral A’B’C’D’.

Segment B’D’ is twice the segment BD and passes through the center of silation, so correct option is

B’D’ will run through (2, 2) and will be longer than BD.

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