Math · Geometry

Transformations on the Coordinate Plane

Find images of points after translations, reflections, rotations and dilations, and tell congruent from similar.

  • 🎓 Grade 8
  • 🧮 Math
  • 📐 8.G.A.3
  • ❓ 23 questions
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Questions 23 questions

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  1. The point (8, 6) is reflected over the x-axis. Where does it land?

    • A (8, −6)
    • B (6, 8)
    • C (−8, −6)
    • D (−8, 6)
  2. The point (6, −1) is translated 5 left and 2 up. Where does it land?

    • A (11, −3)
    • B (1, −3)
    • C (1, 1)
    • D (8, −6)
  3. The point (−3, 4) is translated 3 right and 4 down. Where does it land?

    • A (1, 1)
    • B (−6, 8)
    • C (0, 0)
    • D (0, 8)
  4. The point (8, 6) is rotated 90° clockwise about the origin. Where does it land?

    • A (6, −8)
    • B (6, 8)
    • C (8, −6)
    • D (−6, 8)
  5. The point (2, 5) is rotated 180° about the origin. Where does it land?

    • A (−2, 5)
    • B (2, −5)
    • C (−2, −5)
    • D (5, 2)
  6. The point (−4, −2) is translated 5 left and 2 up. Where does it land?

    • A (−9, 0)
    • B (−2, −7)
    • C (1, −4)
    • D (−9, −4)
  7. The point (4, −6) is reflected over the y-axis. Where does it land?

    • A (−6, 4)
    • B (−4, −6)
    • C (−4, 6)
    • D (4, 6)
  8. The point (1, 3) is reflected over the x-axis. Where does it land?

    • A (1, −3)
    • B (3, 1)
    • C (−1, −3)
    • D (−1, 3)
  9. The point (−2, 7) is reflected over the y-axis. Where does it land?

    • A (−2, −7)
    • B (7, −2)
    • C (2, −7)
    • D (2, 7)
  10. Which transformation can change the size of a figure?

    • A rotation
    • B reflection
    • C dilation
    • D translation
  11. After a dilation, the new figure is…

    • A always rotated
    • B similar to the original
    • C always larger
    • D always congruent
  12. The point (8, 6) is dilated by a scale factor of ½ from the origin. Where does it land?

    • A (6, 4)
    • B (16, 12)
    • C (4, 6)
    • D (4, 3)
  13. The point (−4, −2) is rotated 90° counterclockwise about the origin. Where does it land?

    • A (−2, 4)
    • B (−2, −4)
    • C (2, −4)
    • D (4, −2)
  14. A reflection keeps all side lengths and angle measures the same.

    True

  15. The point (4, −6) is dilated by a scale factor of ½ from the origin. Where does it land?

    • A (8, −12)
    • B (2, −6)
    • C (2, −3)
    • D (2, −8)
  16. Two figures are congruent if one can be turned into the other by…

    • A rigid motions only
    • B any stretch
    • C a dilation only
    • D changing one side
  17. The point (2, 5) is translated 3 right and 4 down. Where does it land?

    • A (6, 2)
    • B (5, 1)
    • C (−1, 9)
    • D (5, 9)
  18. The point (−3, 4) is rotated 180° about the origin. Where does it land?

    • A (3, 4)
    • B (−3, −4)
    • C (3, −4)
    • D (4, −3)
  19. The point (6, −1) is rotated 90° counterclockwise about the origin. Where does it land?

    • A (1, 6)
    • B (−1, 6)
    • C (−1, −6)
    • D (−6, −1)
  20. A translation changes the orientation of a figure.

    False A slide keeps the figure facing the same way.

  21. The point (4, −6) is dilated by a scale factor of 2 from the origin. Where does it land?

    • A (8, −12)
    • B (2, −3)
    • C (6, −4)
    • D (8, −6)
  22. The point (−2, 7) is dilated by a scale factor of 2 from the origin. Where does it land?

    • A (0, 9)
    • B (−4, 14)
    • C (−4, 7)
    • D (−1, 3.5)
  23. The point (1, 3) is rotated 90° clockwise about the origin. Where does it land?

    • A (3, −1)
    • B (−3, 1)
    • C (1, −3)
    • D (3, 1)

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