Identify transformations from coordinate rules
8th grade (Year 9 in England) · 16 questions · Common Core: 8.G.A.3 · England: KS3 Geometry and measures, GCSE Foundation Geometry and measures
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Question 1
Which transformation is described by (x, y) → (4x, 4y)?
- A. Reflection in the y-axis
- B. Translation
- C. Dilation with scale factor 4
- D. Rotation of 180° about the origin
Question 2
After a reflection, is the image congruent to the original (same size and shape)?
- A. Yes, congruent
- B. No, only similar
Question 3
Which transformation is described by (x, y) → (4x, 4y)?
- A. Reflection in the y-axis
- B. Dilation with scale factor 4
- C. Translation
- D. Rotation of 90° anticlockwise about the origin
Question 4
After a dilation with scale factor 3, is the image congruent to the original (same size and shape)?
- A. Yes, congruent
- B. No, only similar
Question 5
Which transformation is described by (x, y) → (−x, −y)?
- A. Reflection in the y-axis
- B. Translation
- C. Rotation of 90° anticlockwise about the origin
- D. Rotation of 180° about the origin
Question 6
After a translation, is the image congruent to the original (same size and shape)?
- A. Yes, congruent
- B. No, only similar
Question 7
Which transformation is described by (x, y) → (−y, x)?
- A. Dilation with scale factor 3
- B. Reflection in the y-axis
- C. Rotation of 90° anticlockwise about the origin
- D. Reflection in the x-axis
Question 8
After a dilation with scale factor 1/2, is the image congruent to the original (same size and shape)?
- A. Yes, congruent
- B. No, only similar
Question 9
Which transformation is described by (x, y) → (−x, y)?
- A. Rotation of 90° anticlockwise about the origin
- B. Translation
- C. Reflection in the x-axis
- D. Reflection in the y-axis
Question 10
After a dilation with scale factor 3, is the image congruent to the original (same size and shape)?
- A. Yes, congruent
- B. No, only similar
Question 11
Which transformation is described by (x, y) → (−y, x)?
- A. Reflection in the y-axis
- B. Rotation of 90° anticlockwise about the origin
- C. Reflection in the x-axis
- D. Dilation with scale factor 4
Question 12
After a reflection, is the image congruent to the original (same size and shape)?
- A. Yes, congruent
- B. No, only similar
Question 13
Which transformation is described by (x, y) → (x, −y)?
- A. Reflection in the x-axis
- B. Dilation with scale factor 2
- C. Reflection in the y-axis
- D. Rotation of 180° about the origin
Question 14
After a rotation, is the image congruent to the original (same size and shape)?
- A. Yes, congruent
- B. No, only similar
Question 15
Which transformation is described by (x, y) → (−y, x)?
- A. Rotation of 180° about the origin
- B. Reflection in the y-axis
- C. Rotation of 90° anticlockwise about the origin
- D. Dilation with scale factor 2
Question 16
After a dilation with scale factor 3, is the image congruent to the original (same size and shape)?
- A. Yes, congruent
- B. No, only similar
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