Dilations Worksheets
Apply coordinate rules for transformations and distinguish rigid motions from size changes.
Before you begin
Read labeled dimensions and coordinates. Recall multiplication facts and length units.
Worked example
Point P is (-1, 2). Find P′ after you dilate about the origin by factor 1.
- Multiply both coordinates by 1.
Answer: (-1, 2)
Check your result using the method in the example before moving to the next question.
Choose your level
These sets use the same exercise types and number ranges across level labels. Choose a fresh set for additional practice.
- Easy: Start with the preview and follow the worked example.
- Medium: Practice the same exercise types with a fresh numbered set.
- Hard: Use another set to practice explaining and checking your answers.
Questions and answer calculations checked on 2026-09-17. How we check worksheets. Free for personal and classroom use.
Preview and print an easy set
Try six questions below, or choose a full set at your level.
1
Point P is (-2, -1). Find P′ after you dilate about the origin by factor 2.
2
Point P is (-4, -1). Find P′ after you dilate about the origin by factor 3.
3
Point P is (-4, 1). Find P′ after you dilate about the origin by factor 1.
4
Point P is (1, 3). Find P′ after you dilate about the origin by factor 1.
5
Point P is (3, -2). Find P′ after you dilate about the origin by factor 3.
6
Point P is (-3, -4). Find P′ after you dilate about the origin by factor 1.
Answer Key
1. (-4, -2)2. (-12, -3)3. (-4, 1)4. (1, 3)5. (9, -6)6. (-3, -4)