Congruence and Transformations 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
A figure is translated 1 units right and 1 units up. Must its image be congruent to the original? Explain.
- Congruent figures have equal corresponding side lengths and angles.
- Translations, reflections and rotations are rigid motions.
Answer: Yes. A translation preserves all lengths and angles.
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
A figure is translated 2 units right and 3 units up. Must its image be congruent to the original? Explain.
2
A figure is dilated by scale factor 4. Must its image be congruent to the original? Explain.
3
A figure is translated 1 units right and 2 units up. Must its image be congruent to the original? Explain.
4
A figure is dilated by scale factor 2. Must its image be congruent to the original? Explain.
5
A figure is translated 3 units right and 2 units up. Must its image be congruent to the original? Explain.
6
A figure is dilated by scale factor 3. Must its image be congruent to the original? Explain.
Answer Key
1. Yes. A translation preserves all lengths and angles.2. No. A scale factor other than 1 changes lengths.3. Yes. A translation preserves all lengths and angles.4. No. A scale factor other than 1 changes lengths.5. Yes. A translation preserves all lengths and angles.6. No. A scale factor other than 1 changes lengths.