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Find a missing endpoint from a midpoint

9th grade (Year 10 in England) · 16 questions · Common Core: HSG.GPE.B.6 · England: GCSE Higher Geometry

Name

Date

Score/ 16

  1. Question 1

    The midpoint of P(5, 5) and Q(a, b) is (1, 3). Find a.

    Answer

  2. Question 2

    M(2, 3) is the midpoint of AB, and A is (−2, −3). Find B. Type it like (2, −1).

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

    Answer

  3. Question 3

    The midpoint of P(3, −4) and Q(a, b) is (−2, 1). Find a.

    Answer

  4. Question 4

    M(4, 5) is the midpoint of AB, and A is (−2, 1). Find B. Type it like (2, −1).

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

    Answer

  5. Question 5

    The midpoint of P(1, −4) and Q(a, b) is (4, −6). Find a.

    Answer

  6. Question 6

    M(0, 6) is the midpoint of AB, and A is (−3, −5). Find B. Type it like (2, −1).

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

    Answer

  7. Question 7

    The midpoint of P(4, −1) and Q(a, b) is (6, −4). Find b.

    Answer

  8. Question 8

    M(−6, 3) is the midpoint of AB, and A is (3, −4). Find B. Type it like (2, −1).

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

    Answer

  9. Question 9

    The midpoint of P(0, 2) and Q(a, b) is (−3, 2). Find a.

    Answer

  10. Question 10

    M(1, 1) is the midpoint of AB, and A is (3, −3). Find B. Type it like (2, −1).

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

    Answer

  11. Question 11

    The midpoint of P(6, −9) and Q(a, b) is (−1, −9). Find b.

    Answer

  12. Question 12

    M(−6, −2) is the midpoint of AB, and A is (1, −7). Find B. Type it like (2, −1).

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

    Answer

  13. Question 13

    The midpoint of P(2, 1) and Q(a, b) is (1, −2). Find a.

    Answer

  14. Question 14

    M(1, 5) is the midpoint of AB, and A is (−2, 3). Find B. Type it like (2, −1).

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

    Answer

  15. Question 15

    The midpoint of P(7, −1) and Q(a, b) is (5, 4). Find b.

    Answer

  16. Question 16

    M(0, −2) is the midpoint of AB, and A is (5, 8). Find B. Type it like (2, −1).

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

    Answer

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  1. -3
  2. (6, 9)
  3. -7
  4. (10, 9)
  5. 7
  6. (3, 17)
  7. -7
  8. (−15, 10)
  9. -6
  10. (−1, 5)
  11. -9
  12. (−13, 3)
  13. 0
  14. (4, 7)
  15. 9
  16. (−5, −12)