Question

Given a dilation around the origin, what is the scale factor K? Do, K = (20,16) → (-5,-4)

Answer 1

Answer:

Scale factor, K = -1/4

Step-by-step explanation:

Dilation of any image changes its size and the shape remains same.

The scale factor is the ratio of dilated image to original image.

Dilation rule: (x, y) → (kx, ky), where k is the scale factor.

It means k = x₂/x₁ or y₂/y₁

K = -5/20 = -1/4 or K = -4/16 = -1/4.

The negative value of scale factor (K) indicates dilations with 180 degree rotation of the dilated image.

Hence the scale factor is K = -1/4.