Trapezoid W′X′Y′Z′ is the image of trapezoid WXYZ under a dilation through point C. What scale factor was used in the dilation?

Question

asked Sep 7, 2019 125k views

2 Answers

Dessa Simpson · Answer 1 · 2019-09-11T18:58:47+0000

Answer:

Option C.

Explanation:

Two trapezoids W'X'Y'Z' and WXYZ have been given in the figure attached.

Trapezoid WXYZ has been dilated to form another trapezoid W'X'Y'Z'.

We have to find the scale factor by which WXYZ was dilated.

Dilation factor =
$\frac{\text{Trapezoid W'X'Y'Z'}}{\text{Trapezoid WXYZ}} = (W'X')/(WX)$

=
(6)/(8)

=
(3)/(4)

Therefore,
(3)/(4) is the dilation factor by which trapezoid WXYZ was dilated.

Option C is the answer.