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Lengths, perimeters and areas from coordinates

6th grade (Year 7 in England) · 16 questions · Common Core: 6.G.A.3, 6.NS.C.8 · England: KS3 Geometry and measures

Name

Date

Score/ 16

  1. Question 1

    How long is the line segment from (−2, 2) to (5, 2)?

    xy−10−8−6−4−2246810−10−8−6−4−22468100AB

    Answer

  2. Question 2

    Point A is (7, 0). Point B is directly below A, 7 units away. What are the coordinates of B? Type them like (2, −3).

    Answer

  3. Question 3

    A rectangle has vertices (−2, −6), (3, −6), (3, 4) and (−2, 4). What is its area, in square units?

    xy−10−8−6−4−2246810−10−8−6−4−22468100

    Answer

  4. Question 4

    How long is the line segment from (−2, −7) to (8, −7)?

    xy−10−8−6−4−2246810−10−8−6−4−22468100AB

    Answer

  5. Question 5

    Point A is (−7, 0). Point B is directly above A, 5 units away. What are the coordinates of B? Type them like (2, −3).

    Answer

  6. Question 6

    A rectangle has vertices (−6, −1), (5, −1), (5, 4) and (−6, 4). What is its area, in square units?

    xy−10−8−6−4−2246810−10−8−6−4−22468100

    Answer

  7. Question 7

    How long is the line segment from (−3, 2) to (7, 2)?

    xy−10−8−6−4−2246810−10−8−6−4−22468100AB

    Answer

  8. Question 8

    Point A is (2, −3). Point B is directly below A, 8 units away. What are the coordinates of B? Type them like (2, −3).

    Answer

  9. Question 9

    A rectangle has vertices (−3, −2), (8, −2), (8, 1) and (−3, 1). What is its area, in square units?

    xy−10−8−6−4−2246810−10−8−6−4−22468100

    Answer

  10. Question 10

    How long is the line segment from (−9, −8) to (5, −8)?

    xy−10−8−6−4−2246810−10−8−6−4−22468100AB

    Answer

  11. Question 11

    Point A is (3, −5). Point B is directly above A, 3 units away. What are the coordinates of B? Type them like (2, −3).

    Answer

  12. Question 12

    A rectangle has vertices (−6, −8), (2, −8), (2, 2) and (−6, 2). What is its area, in square units?

    xy−10−8−6−4−2246810−10−8−6−4−22468100

    Answer

  13. Question 13

    How long is the line segment from (−2, 4) to (8, 4)?

    xy−10−8−6−4−2246810−10−8−6−4−22468100AB

    Answer

  14. Question 14

    Point A is (−6, −1). Point B is directly below A, 8 units away. What are the coordinates of B? Type them like (2, −3).

    Answer

  15. Question 15

    A rectangle has vertices (−7, −2), (8, −2), (8, 1) and (−7, 1). What is its perimeter, in units?

    xy−10−8−6−4−2246810−10−8−6−4−22468100

    Answer

  16. Question 16

    How long is the line segment from (−1, −8) to (7, −8)?

    xy−10−8−6−4−2246810−10−8−6−4−22468100AB

    Answer

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  1. 7
  2. (7, −7)
  3. 50
  4. 10
  5. (−7, 5)
  6. 55
  7. 10
  8. (2, −11)
  9. 33
  10. 14
  11. (3, −2)
  12. 80
  13. 10
  14. (−6, −9)
  15. 36
  16. 8