Question

LM¯¯¯¯¯¯¯¯¯
is dilated by a scale factor of 4, with a center of dilation at L. If L is at point (2,4)
and M is at point (5,3)
, where would L′
be located?(1 point)
Responses

(−0.5, 1)
(−0.5, 1)
- no response given

(20,12)
open paren 20 comma 12 close paren - incorrect

(8, 16)
(8, 16)
- no response given

(2,4)

Answer 1

When you perform a dilation with a scale factor around a center point, the center point itself does not change its location.

Given that L is at (2, 4), and you are dilating with respect to L itself, the location of L' will remain the same as L.

Therefore, the coordinates of L' would be at (2, 4).

So the correct answer would be:

(2, 4)