Question

If ABCD is dilated by a scale factor of 2 about point E, which of the following is true about E'F'?

Answer 1

Given:

ABCD is dilated by a scale factor of 2 about point E.

To find:

The correct statement about the line segment E'E'.

Solution:

The center of dilation E lies on the line segment E'F' and the dilation factor is 2.

$E'F'=2EF$

Since the center of dilation E is one end point EF, therefore E and E' represents the same point.

It means, E'F' passes through the center of dilation.

Hence the correct option is D.