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Transformations and Congruence Practice Tests

These Grade 8 Math practice tests cover translations, reflections, rotations, dilations, coordinate rules, compositions, and congruent figures.

Skills covered

  • Applying coordinate rules for translations, reflections, and rotations
  • Recognizing rigid transformations and identifying preserved measurements
  • Using compositions of transformations
  • Determining whether figures are congruent or similar
  • Connecting transformations with logos, maps, tiles, designs, and scale drawings

How to use these practice tests

Write the coordinate rule before moving each point. Then compare corresponding side lengths and angle measures to decide whether the transformation preserves congruence.

For more Grade 8 Math practice, return to the Grade 8 Math category.

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Grade 8 Transformations and Congruence Practice Tests

Practice Grade 8 Math questions about translations, reflections, rotations, dilations, coordinate rules, compositions, and congruent figures.

Choose the best answer for each question. Apply the coordinate rule carefully and decide whether lengths and angles are preserved.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

What does it mean for two figures to be congruent?

Please select an answer first.

Correct answer: A

The correct answer is They have the same shape and the same size..

  1. Identify the transformation: Read whether the figure is translated, reflected, rotated, or resized and identify its coordinate rule.
  2. Apply the rule: Congruent figures have corresponding side lengths and angle measures equal.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

Congruent figures have corresponding side lengths and angle measures equal.

2. QuestionMultiple choice

Which transformation does not always preserve congruence?

Please select an answer first.

Correct answer: B

The correct answer is A dilation with scale factor different from 1.

  1. Identify the transformation: Read whether the figure is translated, reflected, rotated, or resized and identify its coordinate rule.
  2. Apply the rule: A dilation changes lengths when its scale factor is not 1, so the image may be similar but not congruent.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

A dilation changes lengths when its scale factor is not 1, so the image may be similar but not congruent.

3. QuestionMultiple choice

Which set of corresponding information can prove two triangles congruent?

Please select an answer first.

Correct answer: C

The correct answer is SSS: three pairs of equal corresponding sides.

  1. Identify the transformation: Read whether the figure is translated, reflected, rotated, or resized and identify its coordinate rule.
  2. Apply the rule: Side-Side-Side congruence works when all three corresponding side lengths are equal.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

Side-Side-Side congruence works when all three corresponding side lengths are equal.

4. QuestionMultiple choice

Which rigid transformation can turn a figure while preserving its size and shape?

Please select an answer first.

Correct answer: D

The correct answer is A rotation.

  1. Identify the transformation: Read whether the figure is translated, reflected, rotated, or resized and identify its coordinate rule.
  2. Apply the rule: A rotation changes orientation or position but preserves all distances and angles.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

A rotation changes orientation or position but preserves all distances and angles.

5. QuestionMultiple choice

A triangle is translated 8 units right. What happens to corresponding side lengths?

Please select an answer first.

Correct answer: A

The correct answer is They remain equal..

  1. Identify the transformation: Read whether the figure is translated, reflected, rotated, or resized and identify its coordinate rule.
  2. Apply the rule: A translation slides every point by the same vector and does not change any length.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

A translation slides every point by the same vector and does not change any length.

6. QuestionMultiple choice

If a figure and its image have equal corresponding side lengths and angles, what is true?

Please select an answer first.

Correct answer: B

The correct answer is The figures are congruent..

  1. Identify the transformation: Read whether the figure is translated, reflected, rotated, or resized and identify its coordinate rule.
  2. Apply the rule: Equal corresponding lengths and angles establish the same size and shape.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

Equal corresponding lengths and angles establish the same size and shape.

7. QuestionMultiple choice

What do reflections preserve?

Please select an answer first.

Correct answer: C

The correct answer is Distances and angle measures.

  1. Identify the transformation: Read whether the figure is translated, reflected, rotated, or resized and identify its coordinate rule.
  2. Apply the rule: A reflection reverses orientation but preserves lengths and angle measures.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

A reflection reverses orientation but preserves lengths and angle measures.

8. QuestionMultiple choice

A square is rotated 90 degrees about its center. What is true of the image?

Please select an answer first.

Correct answer: D

The correct answer is It is congruent to the original square..

  1. Identify the transformation: Read whether the figure is translated, reflected, rotated, or resized and identify its coordinate rule.
  2. Apply the rule: Rotation is rigid, so the square keeps its side lengths and angles.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

Rotation is rigid, so the square keeps its side lengths and angles.

9. QuestionMultiple choice

Two triangles have side lengths 5, 7, and 9 in corresponding positions. Which conclusion is justified?

Please select an answer first.

Correct answer: A

The correct answer is They are congruent by SSS..

  1. Identify the transformation: Read whether the figure is translated, reflected, rotated, or resized and identify its coordinate rule.
  2. Apply the rule: All three corresponding side lengths match, so SSS proves congruence.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

All three corresponding side lengths match, so SSS proves congruence.

10. QuestionMultiple choice

Which pair of figures is definitely congruent?

Please select an answer first.

Correct answer: B

The correct answer is Two rectangles with corresponding side lengths 4 and 9.

  1. Identify the transformation: Read whether the figure is translated, reflected, rotated, or resized and identify its coordinate rule.
  2. Apply the rule: Matching corresponding side lengths gives the same rectangular shape and size.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

Matching corresponding side lengths gives the same rectangular shape and size.

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