Dilation from the origin by scale factor r=1/2 maps quadrilateral ABCD to quadrilateral ABCD not shown

C'(4, 4)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.

Dilation is the enlargement or reduction in size of a figure. If a figure with point A(x, y) is dilated by a scale factor of k, the new point would be at A'(kx, ky).

Given that quadrilateral ABCD is dilated by a scale factor of 1/2 to form quadrilateral A'B'C'D'.

The vertices of quadrilateral ABCD is given by A(2, 2), B(4, 8), C(8, 8) and D(6, 4).

If quadrilateral ABCD is dilated by 1/2 to form quadrilateral A'B'C'D, the vertices of quadrilateral A'B'C'D would be A'(1, 1), B'(2, 4), C'(4, 4) and D'(3, 2).