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Triangle dilation

Dilate ABC using point D as your center and a dilation factor of 2. Then, dilate ABC with center at E and a dilation factor of 1/4.

Explain below how you would find the image after each dilation.

List below proportionality statements that you think are true.

Now find a center of dilation and dilation factor that would that would map the smaller triangle to the larger triangle.

Based on your work, under what conditions are the corresponding line segments in an image and its pre-image parallel after a dilation? That is, which word best completes this statement: After a dilation, corresponding line segments in an image and its pre-image are parallel. A.never B.sometimes C.always

Give reasons for your answer. If you choose “sometimes,” be very clear in your explanation how to tell when the corresponding line segments before and after the dilation are parallel and when they are not.

Dilate triangle ABC by a factor of 2 with center at D without using the dilation tool