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Congruence & Transformations - Worksheet 10 - 8th Grade

Hard

Apply coordinate rules for transformations and distinguish rigid motions from size changes.

hard: Use another set to practice explaining and checking your answers.

18 problems · 20-25 minutes · Skills: transformations, congruence, geometry

About This Worksheet

This hard-level worksheet contains 18 problems designed for 8th Grade students practicing congruence & transformations. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Read labeled dimensions and coordinates. Recall multiplication facts and length units.

  • Apply coordinate rules for transformations and distinguish rigid motions from size changes.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: A figure is translated 1 units right and 1 units up. Must its image be congruent to the original? Explain.
Solution Steps:
  1. Congruent figures have equal corresponding side lengths and angles.
  2. Translations, reflections and rotations are rigid motions.
Answer: Yes. A translation preserves all lengths and angles.
Tip: Check your result using the method in the example before moving to the next question.
1
A figure is translated 2 units right and 1 units up. Must its image be congruent to the original? Explain.
2
A figure is dilated by scale factor 3. Must its image be congruent to the original? Explain.
3
A figure is translated 2 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 1 units right and 3 units up. Must its image be congruent to the original? Explain.
6
A figure is dilated by scale factor 4. Must its image be congruent to the original? Explain.
7
A figure is translated 1 units right and 2 units up. Must its image be congruent to the original? Explain.
8
A figure is dilated by scale factor 3. Must its image be congruent to the original? Explain.
9
A figure is translated 2 units right and 2 units up. Must its image be congruent to the original? Explain.
10
A figure is dilated by scale factor 3. Must its image be congruent to the original? Explain.
11
A figure is translated 3 units right and 1 units up. Must its image be congruent to the original? Explain.
12
A figure is dilated by scale factor 2. Must its image be congruent to the original? Explain.
13
A figure is translated 3 units right and 1 units up. Must its image be congruent to the original? Explain.
14
A figure is dilated by scale factor 4. Must its image be congruent to the original? Explain.
15
A figure is translated 3 units right and 2 units up. Must its image be congruent to the original? Explain.
16
A figure is dilated by scale factor 4. Must its image be congruent to the original? Explain.
17
A figure is translated 1 units right and 2 units up. Must its image be congruent to the original? Explain.
18
A figure is dilated by scale factor 4. 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.7. Yes. A translation preserves all lengths and angles.8. No. A scale factor other than 1 changes lengths.9. Yes. A translation preserves all lengths and angles.10. No. A scale factor other than 1 changes lengths.11. Yes. A translation preserves all lengths and angles.12. No. A scale factor other than 1 changes lengths.13. Yes. A translation preserves all lengths and angles.14. No. A scale factor other than 1 changes lengths.15. Yes. A translation preserves all lengths and angles.16. No. A scale factor other than 1 changes lengths.17. Yes. A translation preserves all lengths and angles.18. No. A scale factor other than 1 changes lengths.

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Frequently Asked Questions

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What skills does this geometry transformations worksheet cover?

This worksheet focuses on transformations, congruence, geometry. It is designed for 8th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.