Question

A rectangle has vertices (8, 6), (4, 6), (8, ?4), and (4, ?4). What are the coordinates after dilating from the origin by a scale factor of 1.5?

Answer 1

(12, 9), (6, 9), (12, 6), and (6, 6)

Explanation:

When you dilate a shape from the origin, you multiply every coordinate by the scale factor.

If the scale factor is 1.5, then

(8, 6) ⟶ (12, 9)

(4, 6) ⟶ (6, 9)

(8, 4) ⟶ (12, 6)

(4, 4) ⟶ (6, 6)

The new coordinates after dilation are (12, 9), (6, 9), (12, 6), and (6, 6).

The diagram below shows the rectangle ABCD dilated from the origin by a scale factor of 1.5 to the rectangle A'B'C'D'.