Question

A trapezoid has the followingcoordinates Point A) -8,-8, B)-2,2 C) 6,2 D)6,-8. I wantto shrink this shape with a scale factor of K=1/2. Whatare my new coordinates for this Trapezoid?

Answer 1

Determine the new coordinates of the trapezoid.

$A(-8\cdot\frac{1}{2},-8\cdot\frac{1}{2})=A(-4,-4)$$B(-2\cdot\frac{1}{2},2\cdot\frac{1}{2})=B(-1,1)$$C(6\cdot\frac{1}{2},2\cdot\frac{1}{2})=C(3,1)$$D(6\cdot\frac{1}{2},-8\cdot\frac{1}{2})=D(3,-4)$

So coordinates of the trapezoid after dilation is,

A(-4,-4)

B(-1,1)

C(3,1)

D(3,-4)