Scale the Shape

A dilation multiplies all distances from the center by a scale factor ().

Goal: Match the target shape where
k = 0.5 k = 3.0

Slide to scale

Distance Rule

Dilation centered at the origin multiplies the coordinates by .

Goal: Dilate point by
A' =

Drag point A'

Dilate the Triangle

Apply the rule to all vertices.

Goal: Plot the image of the blue triangle with
{{ s3.points.length }} / 3 points

Tap grid to plot

Find the Center

Rays drawn from the center of dilation through the pre-image vertices will always intersect the image vertices.

Goal: Locate the center of dilation

Drag the yellow center

Mastered!

You've learned how scale factors and centers of dilation transform shapes in the coordinate plane.