Question

Figure ABCD is shown on the coordinate plane. Suppose a graphic designer wants to dilate the figure so that the resulting image has a smaller area than figure ABCD. Describe a way the designer can achieve this type of dilation.

Answer 1

Step-by-step explanation:

If the dilated image is smaller than the original, then 0<k<1.

Meaning the scale factor is less than one, but greater than zero.

You would mulitply each coordinate by this scale factor - to obtain the coordinates of the dilated figure.

Let's choose
`\frac{1}2}`.

In the original figure Point A = (-4,3) dilating by
`(1)/(2)` results in A' being (-2, 1.5). When you multiply each cooordinate (-4,3) by one half.

Applying the scale factor of one half to the other coordinates - yields these results.

Point B (4,3) becomes Point B' (2, 1.5)

Point C (-4,-4) becomes Point C' (-2,-2).

Point D (4, -4) becomes Point D' (2,-2)

Answer 2

K will equal something more than 0 and less than 1.

Step-by-step explanation:

Multiply each side length by the same factor, a number between 0 and 1.