Question

Polygon ABCD with A (2,4), B (-4,-8), C (0,4), and D (12,-2), is dilated are the new coordinates? Is this a reduction or enlargement?

Answer 1

For this exercise it is important to know that, in Dilations:

1. When the scale factor is greater than 1, the Image (the figure obtained after the transformation) is an enlargement.

2. When the scale factor is greater than 0 but less than 1, the Image is a reduction:

`0You know that the coordinates of the vertices of the polygon ABCD are:[tex]\begin{gathered} A(2,4) \\ B(-4,-8) \\ C(0,4) \\ D(12,-2) \end{gathered}`

And the scale factor is:

`k=(1)/(2)`

Since:

`0<(1)/(2)<1`

It is a reduction.

You can identify that the rule of this transformation is: