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

Answer:

Option C.

Step-by-step 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.

$\text{Scale factor}=\frac{Corresponding side of image}{Corresponding side of preimage}$

For the given figure,

$\text{Scale factor}=\frac{W'X'}{WX}$

$\text{Scale factor}=\frac{6}{8}$

$\text{Scale factor}=\frac{3}{4}$

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.