Question

hoose the image of △△ABC with vertices A(-1, 1) B(3, 5) and C(2, 2 ) under a dilation centered at the origin with a scale factor of 2.5.

Answer 1

To dilate something in the coordinate plane, multiply each coordinate by the scale factor.

For any dilation, the mapping will be (x,y) → (kx,ky). Where k is the scale factor.

Given:

A (-1, 1), B (3, 5) and C (2, 2)

Since it will be dilated centered at the origin with a scale factor of 2.5, the new coordinates will be:

A (-1, 1) → A' [(-1)(2.5), (1)(2.5)] → A' (-2.5, 2.5)

B (3, 5) → B' [(3)(2.5), (5)(2.5) → B' (7.5, 12.5)

C (2, 2) → C' [(2)(2.5). (2)(2.5)] → C' (5, 5)

Let's now plot the graph of the original figure and the dilated one:

Therefore, the answer is CHOICE D.