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:

$k=\frac{1}{2}$

Since:

$0<\frac{1}{2}<1$

It is a reduction.

You can identify that the rule of this transformation is:

$undefined$