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Common Core HSG.GPE.B.6 worksheet

High school · 16 questions · Common Core: HSG.GPE.B.6 · England: GCSE Higher Geometry

Name

Date

Score/ 16

  1. Question 1

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

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

    Answer

  2. Question 2

    The midpoint of P(−4, 8) and Q(a, b) is (−4, 0). Find a.

    Answer

  3. Question 3

    P divides AB so that AP : PB = 2 : 1. A is (−2, −5) and P is (−6, −9). Find B. Type it like (2, −1).

    Answer

  4. Question 4

    P lies on AB with AP : PB = 1 : 3. A is (6, −8) and B is (10, 0). Find P. Type it like (2, −1).

    xy−20−16−12−8−448121620−20−16−12−8−4481216200AB

    Answer

  5. Question 5

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

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

    Answer

  6. Question 6

    The midpoint of P(9, −1) and Q(a, b) is (8, 3). Find b.

    Answer

  7. Question 7

    P divides AB so that AP : PB = 1 : 2. A is (5, −4) and P is (4, −5). Find B. Type it like (2, −1).

    Answer

  8. Question 8

    P lies on AB with AP : PB = 3 : 2. A is (−6, −6) and B is (−16, 9). Find P. Type it like (2, −1).

    xy−20−16−12−8−448121620−20−16−12−8−4481216200AB

    Answer

  9. Question 9

    M(6, 3) 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

  10. Question 10

    The midpoint of P(−9, 3) and Q(a, b) is (−3, −2). Find a.

    Answer

  11. Question 11

    P divides AB so that AP : PB = 3 : 2. A is (1, 2) and P is (7, −7). Find B. Type it like (2, −1).

    Answer

  12. Question 12

    P lies on AB with AP : PB = 1 : 3. A is (−5, 0) and B is (−17, 8). Find P. Type it like (2, −1).

    xy−20−16−12−8−448121620−20−16−12−8−4481216200AB

    Answer

  13. Question 13

    M(4, 6) is the midpoint of AB, and A is (8, −7). Find B. Type it like (2, −1).

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

    Answer

  14. Question 14

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

    Answer

  15. Question 15

    P divides AB so that AP : PB = 2 : 1. A is (2, 2) and P is (4, 0). Find B. Type it like (2, −1).

    Answer

  16. Question 16

    P lies on AB with AP : PB = 1 : 3. A is (−3, −2) and B is (5, 2). Find P. Type it like (2, −1).

    xy−20−16−12−8−448121620−20−16−12−8−4481216200AB

    Answer

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Answer key: Common Core HSG.GPE.B.6 worksheet

  1. 1. (2, 0)

  2. 2. -4

  3. 3. (−8, −11)

  4. 4. (7, −6)

  5. 5. (−12, 14)

  6. 6. 7

  7. 7. (2, −7)

  8. 8. (−12, 3)

  9. 9. (11, 13)

  10. 10. 3

  11. 11. (11, −13)

  12. 12. (−8, 2)

  13. 13. (0, 19)

  14. 14. 1

  15. 15. (5, −1)

  16. 16. (−1, −1)

HSG.GPE.B.6 Worksheet: Find a missing endpoint from a midpoint | Eurekami