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Find a missing endpoint from a midpoint

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

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Score/ 16

  1. Question 1

    M(βˆ’6, 3) is the midpoint of AB, and A is (7, 1). Find B. Type it like (2, βˆ’1).

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    Answer

  2. Question 2

    The midpoint of P(7, 9) and Q(a, b) is (8, 4). Find a.

    Answer

  3. Question 3

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

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

    Answer

  4. Question 4

    The midpoint of P(βˆ’5, βˆ’8) and Q(a, b) is (βˆ’2, βˆ’8). Find b.

    Answer

  5. Question 5

    M(βˆ’5, βˆ’5) is the midpoint of AB, and A is (βˆ’6, βˆ’7). Find B. Type it like (2, βˆ’1).

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

    Answer

  6. Question 6

    The midpoint of P(βˆ’8, βˆ’3) and Q(a, b) is (βˆ’5, 3). Find b.

    Answer

  7. Question 7

    M(2, βˆ’4) is the midpoint of AB, and A is (βˆ’3, βˆ’7). Find B. Type it like (2, βˆ’1).

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

    Answer

  8. Question 8

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

    Answer

  9. Question 9

    M(4, 3) is the midpoint of AB, and A is (βˆ’5, 4). Find B. Type it like (2, βˆ’1).

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

    Answer

  10. Question 10

    The midpoint of P(6, βˆ’5) and Q(a, b) is (6, βˆ’5). Find b.

    Answer

  11. Question 11

    M(3, βˆ’4) is the midpoint of AB, and A is (5, βˆ’6). Find B. Type it like (2, βˆ’1).

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

    Answer

  12. Question 12

    The midpoint of P(0, βˆ’9) and Q(a, b) is (βˆ’3, βˆ’3). Find b.

    Answer

  13. Question 13

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

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

    Answer

  14. Question 14

    The midpoint of P(8, 0) and Q(a, b) is (2, 3). Find b.

    Answer

  15. Question 15

    M(βˆ’4, βˆ’6) is the midpoint of AB, and A is (6, 8). Find B. Type it like (2, βˆ’1).

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

    Answer

  16. Question 16

    The midpoint of P(βˆ’2, 0) and Q(a, b) is (βˆ’1, βˆ’1). Find a.

    Answer

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Answer key: Find a missing endpoint from a midpoint

  1. 1. (βˆ’19, 5)

  2. 2. 9

  3. 3. (βˆ’17, 0)

  4. 4. -8

  5. 5. (βˆ’4, βˆ’3)

  6. 6. 9

  7. 7. (7, βˆ’1)

  8. 8. 1

  9. 9. (13, 2)

  10. 10. -5

  11. 11. (1, βˆ’2)

  12. 12. 3

  13. 13. (βˆ’12, βˆ’15)

  14. 14. 6

  15. 15. (βˆ’14, βˆ’20)

  16. 16. 0