pdf Dilation - When The Center Of Dilation Is Not The Origin

This comprehensive dilation worksheet extends student understanding by exploring dilations when the center is not the origin. Students apply scale factors to a variety of figures on the coordinate plane while using specified centers of dilation such as \((3,4)\), \((-14,18)\), \((2,-18)\), \((14,-2)\), \((-18,-18)\), and \((18,-2)\).

The activity includes triangles, rectangles, trapezoids, and parallelograms positioned across multiple quadrants. Students must record original coordinates, apply the dilation using the given center, and determine the new image coordinates. Because the center of dilation varies, learners must reason carefully about how each point moves relative to that center rather than simply multiplying coordinates.

This resource strengthens conceptual understanding of similarity, proportional reasoning, and coordinate transformations. It works well for guided practice, independent application, small-group instruction, or as a formative assessment within a transformations unit.

Skills Assessed

• Performing dilations with a non-origin center

• Applying scale factors greater than 1

• Recording original and image coordinates

• Understanding how distance from the center affects image location

• Connecting dilations to similarity and proportional reasoning

Classroom Use

• Transformations unit

• Advanced dilation practice

• Small-group intervention

• Assessment preparation

• Enrichment for similarity concepts

Details

• 4 pages

• Includes student version and answer key

• Multiple figures across quadrants

• Various centers of dilation provided

ID# 0589
dilation worksheet, non origin center dilation, transformations on the coordinate plane, applying scale factor, similarity transformations, coordinate geometry transformations, 8.G, 8th grade,