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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 (−4, −8) to (3, −8)?

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

    Answer

  2. Question 2

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

    Answer

  3. Question 3

    A rectangle has vertices (−8, −5), (4, −5), (4, 4) and (−8, 4). What is its perimeter, in units?

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

    Answer

  4. Question 4

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

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

    Answer

  5. Question 5

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

    Answer

  6. Question 6

    A rectangle has vertices (−1, −1), (6, −1), (6, 8) and (−1, 8). 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 (−4, −3) to (2, −3)?

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

    Answer

  8. Question 8

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

    Answer

  9. Question 9

    A rectangle has vertices (−6, −1), (7, −1), (7, 2) and (−6, 2). What is its perimeter, in units?

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

    Answer

  10. Question 10

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

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

    Answer

  11. Question 11

    Point A is (−6, −7). Point B is directly below A, 4 units away. What are the coordinates of B? Type them like (2, −3).

    Answer

  12. Question 12

    A rectangle has vertices (−6, −6), (5, −6), (5, 8) and (−6, 8). 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 (−4, 4) to (9, 4)?

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

    Answer

  14. Question 14

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

    Answer

  15. Question 15

    A rectangle has vertices (−7, −4), (4, −4), (4, 6) and (−7, 6). 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, 2) to (4, 2)?

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

    Answer

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Answer key: Lengths, perimeters and areas from coordinates

  1. 1. 7

  2. 2. (−2, 4)

  3. 3. 42

  4. 4. 6

  5. 5. (−1, 2)

  6. 6. 63

  7. 7. 6

  8. 8. (3, 6)

  9. 9. 32

  10. 10. 10

  11. 11. (−6, −11)

  12. 12. 154

  13. 13. 13

  14. 14. (2, 2)

  15. 15. 42

  16. 16. 5