grade 10 · GEOM-007

Dilate a coordinate point

Multiply both coordinates by the same scale factor and interpret the image point.

Learn togetherFresh problem · seed 639226619

Point \(A(-2, 1)\) is dilated from the origin by scale factor \(3\). What is \(A'\)?

Let's work it out together.

Work through one checkpoint at a time. Your answer area opens after the reasoning.

Checkpoint 1

A dilation from the origin multiplies each coordinate by the scale factor.
Checkpoint 2

Apply the same factor to x and y.
Checkpoint 3

Check that the image lies on the same ray from the origin.

\((3, -6)\)\((1, 4)\)\((-2, 1)\)\((-6, 3)\)