Question

On a coordinate plane, triangle X prime Y prime Z prime has points (negative 4, 5), (negative 6, negative 1), and (negative 2, negative 1).
Triangle XYZ was dilated using the rule DO,0.25 (x, y) → (0.25x, 0.25y).

The image is shown in the diagram. What are the coordinates of Z of the pre-image?

(–8, –4)
(–8, 2)
(–2, –1)
(–0.25, –0.5)

Answer 1

Scale factor 0.25 maps pre-image (x, y) to image (0.25x, 0.25y). So pre-image = image ÷ 0.25 = image × 4. For Z': (-2, -1) → Z = (-8, -4).