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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

A school logo is moved 6 inches to the right without turning or resizing. Which transformation is this?

Please select an answer first.

Correct answer: A

The correct answer is A translation.

  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 the same distance and direction.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

A translation slides every point the same distance and direction.

2. QuestionMultiple choice

A design is flipped over a horizontal line like a mirror. Which transformation is this?

Please select an answer first.

Correct answer: B

The correct answer is A reflection.

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

A mirror flip across a line is a reflection.

3. QuestionMultiple choice

A wheel turns one quarter-turn around its center. Which transformation is this?

Please select an answer first.

Correct answer: C

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 turn around a fixed center is a rotation.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

A turn around a fixed center is a rotation.

4. QuestionMultiple choice

A map image is enlarged by a scale factor of 2. Which transformation is this?

Please select an answer first.

Correct answer: D

The correct answer is A dilation.

  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 the size by multiplying distances by the scale factor.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

A dilation changes the size by multiplying distances by the scale factor.

5. QuestionMultiple choice

A floor tile is shifted 2 feet north and 3 feet east. What transformation models the move?

Please select an answer first.

Correct answer: A

The correct answer is A translation.

  1. Identify the transformation: Read whether the figure is translated, reflected, rotated, or resized and identify its coordinate rule.
  2. Apply the rule: The tile moves the same vector without changing its size or orientation.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

The tile moves the same vector without changing its size or orientation.

6. QuestionMultiple choice

A pattern is flipped across a mirror line. What is preserved?

Please select an answer first.

Correct answer: B

The correct answer is The lengths and angle measures of the pattern.

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

Reflection preserves size and shape even though it reverses orientation.

7. QuestionMultiple choice

A city grid point (4,1)(4,1) is reflected across the y-axis. Where does it move?

Please select an answer first.

Correct answer: C

The correct answer is (−4,1)(-4,1).

  1. Identify the transformation: Read whether the figure is translated, reflected, rotated, or resized and identify its coordinate rule.
  2. Apply the rule: A y-axis reflection changes the sign of x and keeps y: (4,1)mapsto(−4,1)(4,1)\\mapsto(-4,1).
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

A y-axis reflection changes the sign of x and keeps y: (4,1)mapsto(−4,1)(4,1)\\mapsto(-4,1).

8. QuestionMultiple choice

A road map is mirrored across a north-south road. Which coordinate rule can model the mirror?

Please select an answer first.

Correct answer: D

The correct answer is (x,y)mapsto(−x,y)(x,y)\\mapsto(-x,y).

  1. Identify the transformation: Read whether the figure is translated, reflected, rotated, or resized and identify its coordinate rule.
  2. Apply the rule: A north-south vertical mirror acts like the y-axis, changing x to -x.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

A north-south vertical mirror acts like the y-axis, changing x to -x.

9. QuestionMultiple choice

A triangle is rotated about one of its vertices. What happens to its side lengths?

Please select an answer first.

Correct answer: A

The correct answer is They stay the same..

  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 a rigid transformation, so all distances are preserved.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

Rotation is a rigid transformation, so all distances are preserved.

10. QuestionMultiple choice

A blueprint is enlarged from scale factor 1 to scale factor 3. Which statement is true?

Please select an answer first.

Correct answer: B

The correct answer is The image is similar but not congruent to the original..

  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 with factor 3 preserves angle measures but multiplies every length by 3.
  3. Check congruence: Compare corresponding side lengths and angle measures to determine whether the transformation preserves size and shape.

A dilation with factor 3 preserves angle measures but multiplies every length by 3.

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