Question

If square HIJK is dilated by a scale factor of

1
3
with a dilation center of (0, 0), what will be the coordinates of point K'?
A) (1, 1)
B) (-1, 1)
C) (1, -1)
D) (0, -1)

Answer 1

c. point K is (3,-3) and the dilation moves from 3 to 1 so you divide both X and Y coordinates by 3 to get (1,-1)
hope this helps.

Answer 2

C) (1, -1)

Explanation:

When a figure is dilated, the coordinates of each point are multiplied by the scale factor. The scale factor in this problem is 1/3; this means that every point gets multiplied by 1/3.

The coordinates of K are (3, -3). Applying the dilation, we have

1/3(3, -3) = (1/3*3, 1/3*-3) = (1, -1)