Question

The figure below is dilated by a factor of one quarter
4
1
​
centered at the origin. Plot the resulting image.
A is at (8,-8) B is at (5,8) and is C is at (-8,4)

Answer 1

A dilation centered at the origin with factor 1/4 multiplies each coordinate by 1/4.

Compute:
- A(8, −8) → A' = (8·1/4, −8·1/4) = (2, −2)
- B(5, 8) → B' = (5·1/4, 8·1/4) = (5/4, 2) = (1.25, 2)
- C(−8, 4) → C' = (−8·1/4, 4·1/4) = (−2, 1)

Plot these points A'(2, −2), B'(1.25, 2), C'(−2, 1) and connect them to form the dilated image.