Question

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

This transformation is a
by a factor of

Answer 1

Dilation by a factor of 2

Answer 2

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

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.