Question

In the figure, polygon ABCD is transformed to create polygon A'B'CD

Answer 1

Answer:

This transformation is a horizonta dilation by a factor of 2.

Step-by-step explanation:

If you observe the image, you deduct that the polygon ABCD was increased in size, that means the scale factor applied dilated the figure. In other words, there was applied a factor of dilation.

To find the exact factor of dilation, we just have to divide each prime coordinate by the original ones.

For example, you can observe that coordinates $A(3,0)$ was changed to $A'(6,0)$, $B(1,0)$ was changed to $B'(2,0)$, $C(1,2)$ was changed to $C'(2,2)$ and $D(3,2)$ was changed to $D'(6.2)$.

Now, observe that the dilation was horizontal, that is, the scale factor was only applied to x-coordinates, and this factor is 2, beacuse each x-coordinate was increase by a factor of 2.

Therefore, this transformation is a horizonta dilation by a factor of 2.

Answer 2

Dilation by a factor of 2