graph the image of trapezoid cdef after a dilation with a scale factor of $\frac{1}{4}$, centered at the…

Explanation:

Step1: Identify trapezoid vertices

Assume (C(-8,-4)), (D(8,-4)), (E(6,8)), (F(-8,8))

Step2: Apply dilation formula

For a dilation centered at the origin with scale - factor (k = \frac{1}{4}), the formula for a point ((x,y)) is ((x',y')=(k x,k y)) For point (C): (x'_C=\frac{1}{4}\times(-8)= - 2), (y'_C=\frac{1}{4}\times(-4)=-1) For point (D): (x'_D=\frac{1}{4}\times8 = 2), (y'_D=\frac{1}{4}\times(-4)=-1) For point (E): (x'_E=\frac{1}{4}\times6=\frac{3}{2}), (y'_E=\frac{1}{4}\times8 = 2) For point (F): (x'_F=\frac{1}{4}\times(-8)=-2), (y'_F=\frac{1}{4}\times8 = 2)

Step3: Graph new trapezoid

Plot the new points (C'(-2,-1)), (D'(2,-1)), (E'(\frac{3}{2},2)), (F'(-2,2)) and connect them to form the dilated trapezoid.

Answer:

Graph the trapezoid with vertices (C'(-2,-1)), (D'(2,-1)), (E'(\frac{3}{2},2)), (F'(-2,2))