Question

Find the image vertices for a dilation with center (0, 0) and a scale factor of 4.

Answer 1

Given:

The image vertices for a dilation with center (0, 0)

A scale factor of 4.

To find:

The coordinate of image vertex of A, B C and D.

Solution:

Consider the attached figure while going through the following steps.

The coordinate of image vertices can be calculated as follows,

For vertex A (-3, 1), we have, A' (4 × -3, 4 × 1) = A' (-12, 4)

For vertex B (4, -3), we have, B' (4 × 4, 4 × -3) = B' (16, -12)

For vertex C (2, 3), we have, C' (4 × 2, 4 × 3) = C' (8, 12)

For vertex A (-1, 4), we have, A' (4 × -1, 4 × 4) = A' (-4, 16)