Problem

Do these corresponding polygon sides show a dilation? Original triangle side lengths \(3,~4,~\text{and}~5\) map to image side lengths \(6,~8,~\text{and}~10\).

Neutral corresponding-side reference listing original lengths 3, 4, 5 and image lengths 6, 8, 10, without drawn polygons or scale treatment.

Big Picture

What this problem is really about

A dilation must use one multiplicative factor across every corresponding side, not one additive increase. We’ll align the side pairs in matching order, compute each image-to-original ratio independently, check that every ratio is the same positive constant, and multiply the originals forward to verify the complete image list.

Answer choices

Choose your path.

Preview only

No; even though 6/3 = 2, the other sides were not checked, so you cannot say it is a dilation.

Yes; 6/3 = 8/4 = 10/5 = 2, so all the side ratios match and the scale factor is 2.

No; the ratios are 3/6, 4/8, and 5/10, which are all 1/2, so the scale factor is not the same.

No; the side differences are 3, 4, and 5, so the change is not the same for every side.

The choices are visible. Checking your work and seeing which answer is correct happen inside Gozunta.

Do these corresponding polygon sides show a dilation? Original triangle side lengths \(3,~4,~\text{and}~5\) map to image side lengths \(6,~8,~\text{and}~10\).

What this problem is really about

Turn the preview into practice.

Gozunta lets you study this problem—and more than 10,000 others.