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 1336463734

Point \(A(1, 2)\) is dilated from the origin by scale factor \(2\). 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.

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