Question

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?


​ −4/3 ​

−3/4

​ 3/4 ​

4/3

Answer 1

The answer is 3 over 4

Answer 2

Option C.

Explanation:

Given information: WX=8m and W'X'=6m

It is given that Trapezoid W′X′Y′Z′ ​ is the image of trapezoid WXYZ under a dilation through point C.

Scale factor is the ratio of corresponding sides of image and preimage.

`\text{Scale factor}=(Corresponding side of image)/(Corresponding side of preimage)`

For the given figure,

`\text{Scale factor}=(W'X')/(WX)`

`\text{Scale factor}=(6)/(8)`

`\text{Scale factor}=(3)/(4)`

Since image and preimage lie on the same side of the center of dilation. So, the scale factor is positive number.

Therefore, the correct option is C.