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Find the point that divides a segment in a given ratio

10th grade (Year 11 in England) · 16 questions · Common Core: HSG.GPE.B.6 · England: GCSE Higher Geometry

Name

Date

Score/ 16

  1. Question 1

    P divides AB so that AP : PB = 2 : 1. A is (5, −1) and P is (3, −7). Find B. Type it like (2, −1).

    Answer

  2. Question 2

    P lies on AB with AP : PB = 1 : 4. A is (−8, 3) and B is (−18, 18). Find P. Type it like (2, −1).

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

    Answer

  3. Question 3

    P divides AB so that AP : PB = 3 : 2. A is (0, 2) and P is (−3, 5). Find B. Type it like (2, −1).

    Answer

  4. Question 4

    P lies on AB with AP : PB = 2 : 3. A is (2, −3) and B is (−3, −13). Find P. Type it like (2, −1).

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

    Answer

  5. Question 5

    P divides AB so that AP : PB = 3 : 2. A is (1, 0) and P is (−2, −9). Find B. Type it like (2, −1).

    Answer

  6. Question 6

    P lies on AB with AP : PB = 1 : 4. A is (−5, 1) and B is (−10, −9). Find P. Type it like (2, −1).

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

    Answer

  7. Question 7

    P divides AB so that AP : PB = 1 : 2. A is (1, −4) and P is (−1, −3). Find B. Type it like (2, −1).

    Answer

  8. Question 8

    P lies on AB with AP : PB = 1 : 4. A is (−6, −8) and B is (−21, −13). Find P. Type it like (2, −1).

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

    Answer

  9. Question 9

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

    Answer

  10. Question 10

    P lies on AB with AP : PB = 1 : 3. A is (−5, 4) and B is (−9, −4). Find P. Type it like (2, −1).

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

    Answer

  11. Question 11

    P divides AB so that AP : PB = 1 : 3. A is (−3, 1) and P is (0, 3). Find B. Type it like (2, −1).

    Answer

  12. Question 12

    P lies on AB with AP : PB = 1 : 3. A is (6, −7) and B is (−2, 5). Find P. Type it like (2, −1).

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

    Answer

  13. Question 13

    P divides AB so that AP : PB = 1 : 2. A is (0, −3) and P is (1, −1). Find B. Type it like (2, −1).

    Answer

  14. Question 14

    P lies on AB with AP : PB = 3 : 2. A is (4, 0) and B is (−6, −5). Find P. Type it like (2, −1).

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

    Answer

  15. Question 15

    P divides AB so that AP : PB = 2 : 1. A is (0, −1) and P is (4, −7). Find B. Type it like (2, −1).

    Answer

  16. Question 16

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

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

    Answer

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