Question

Segment DE has endpoints at D(2, - 8) and E(-4, 4) . If it is dilated about the origin by a factor of 4, which of the following would be the length of its image, D’E’

1.) 6sqrt(5);

2.) 24sqrt(5);

3.) 144sqrt(5);

4.) 10sqrt(5);

Answer 1

Answer:

answer 2)  24$\sqrt{5}$

Step-by-step explanation:

after the dilation pt D is (8,-32)

after the dilation pt E is (-16,16)

if you use the distance formula for these two points you get $\sqrt{2880}$ which simplifies to 24$\sqrt{5}$