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Reflect and rotate points on the coordinate plane

8th grade (Year 9 in England) Β· 16 questions Β· Common Core: 8.G.A.1, 8.G.A.3 Β· England: KS3 Geometry and measures, GCSE Foundation Geometry and measures

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  1. Question 1

    Reflect (βˆ’3, 1) in the y-axis. Type the image like (2, βˆ’3).

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100P

    Answer

  2. Question 2

    P(1, 4) is rotated about the origin to Pβ€²(βˆ’1, βˆ’4). Which rotation was it?

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100PPβ€²
    • A. 90Β° anticlockwise (counterclockwise)
    • B. 90Β° clockwise
    • C. 180Β°
  3. Question 3

    Rotate (βˆ’1, βˆ’6) 90Β° anticlockwise (counterclockwise) about the origin. Type the image like (2, βˆ’3).

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100PO

    Answer

  4. Question 4

    Reflect (βˆ’7, 7) in the y-axis. Type the image like (2, βˆ’3).

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100P

    Answer

  5. Question 5

    P(6, 7) is rotated about the origin to Pβ€²(βˆ’7, 6). Which rotation was it?

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100PPβ€²
    • A. 90Β° anticlockwise (counterclockwise)
    • B. 90Β° clockwise
    • C. 180Β°
  6. Question 6

    Rotate (βˆ’1, βˆ’5) 90Β° clockwise about the origin. Type the image like (2, βˆ’3).

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100PO

    Answer

  7. Question 7

    Reflect (βˆ’4, 6) in the x-axis. Type the image like (2, βˆ’3).

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100P

    Answer

  8. Question 8

    P(5, 3) is rotated about the origin to Pβ€²(βˆ’5, βˆ’3). Which rotation was it?

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100PPβ€²
    • A. 90Β° anticlockwise (counterclockwise)
    • B. 90Β° clockwise
    • C. 180Β°
  9. Question 9

    Rotate (βˆ’1, βˆ’1) 90Β° clockwise about the origin. Type the image like (2, βˆ’3).

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100PO

    Answer

  10. Question 10

    Reflect (3, 2) in the y-axis. Type the image like (2, βˆ’3).

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100P

    Answer

  11. Question 11

    P(3, 2) is rotated about the origin to Pβ€²(2, βˆ’3). Which rotation was it?

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100PPβ€²
    • A. 90Β° anticlockwise (counterclockwise)
    • B. 90Β° clockwise
    • C. 180Β°
  12. Question 12

    Rotate (4, 5) 90Β° clockwise about the origin. Type the image like (2, βˆ’3).

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100PO

    Answer

  13. Question 13

    Reflect (7, 5) in the line y = x. Type the image like (2, βˆ’3).

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100y = xP

    Answer

  14. Question 14

    P(4, 4) is rotated about the origin to Pβ€²(βˆ’4, 4). Which rotation was it?

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100PPβ€²
    • A. 90Β° anticlockwise (counterclockwise)
    • B. 90Β° clockwise
    • C. 180Β°
  15. Question 15

    Rotate (7, βˆ’7) 90Β° anticlockwise (counterclockwise) about the origin. Type the image like (2, βˆ’3).

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100PO

    Answer

  16. Question 16

    Reflect (6, βˆ’2) in the y-axis. Type the image like (2, βˆ’3).

    xyβˆ’10βˆ’8βˆ’6βˆ’4βˆ’2246810βˆ’10βˆ’8βˆ’6βˆ’4βˆ’22468100P

    Answer

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Answer key: Reflect and rotate points on the coordinate plane

  1. 1. (3, 1)

  2. 2. C. 180Β°

  3. 3. (6, βˆ’1)

  4. 4. (7, 7)

  5. 5. A. 90Β° anticlockwise (counterclockwise)

  6. 6. (βˆ’5, 1)

  7. 7. (βˆ’4, βˆ’6)

  8. 8. C. 180Β°

  9. 9. (βˆ’1, 1)

  10. 10. (βˆ’3, 2)

  11. 11. B. 90Β° clockwise

  12. 12. (5, βˆ’4)

  13. 13. (5, 7)

  14. 14. A. 90Β° anticlockwise (counterclockwise)

  15. 15. (7, 7)

  16. 16. (βˆ’6, βˆ’2)