Respuesta :

The attached figure represents the image of A'B'C'D after dilation

How to dilate the trapezoid?

The points are given as:

A = (-4,1)

B = (-1,1)

C = (0,-5)

D = (-6,-5)

The scale factor and the center of dilation are given as:

k = -2

P (a,b) = (-3,-2)

The rule of this dilation is:

(x,y) = (k(x - a) + a, k(y - b) + b)

This gives

(x,y) = (-2(x + 3) - 3, -2(y + 2) - 2)

So, we have:

A' = (-2(-4 + 3) - 3, -2(1 + 2) - 2)

A' = (-1, -8)

B' = (-2(-1 + 3) - 3, -2(1 + 2) - 2)

B' = (-7, -8)

C' = (-2(0 + 3) - 3, -2(-5 + 2) - 2)

C' = (-9, 4)

D' = (-2(-6 + 3) - 3, -2(-5 + 2) - 2)

D' = (3, 4)

See attachment for the image A'B'C'D

Read more about dilation at:

https://brainly.com/question/3457976

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Ver imagen MrRoyal