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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 = 1 : 2. A is (−1, 2) and P is (0, 5). Find B. Type it like (2, −1).

    Answer

  2. Question 2

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

    Answer

  4. Question 4

    P lies on AB with AP : PB = 3 : 2. A is (2, 1) and B is (−13, 16). 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 = 2 : 1. A is (−1, 2) and P is (5, 0). Find B. Type it like (2, −1).

    Answer

  6. Question 6

    P lies on AB with AP : PB = 3 : 2. A is (5, −2) and B is (15, −12). 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 (3, 2) and P is (2, −1). Find B. Type it like (2, −1).

    Answer

  8. Question 8

    P lies on AB with AP : PB = 2 : 3. A is (5, 3) and B is (−10, −2). 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 : 3. A is (−1, −2) and P is (−3, −4). Find B. Type it like (2, −1).

    Answer

  10. Question 10

    P lies on AB with AP : PB = 2 : 1. A is (1, −4) and B is (10, 5). 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 = 2 : 1. A is (4, 4) and P is (−2, 8). Find B. Type it like (2, −1).

    Answer

  12. Question 12

    P lies on AB with AP : PB = 1 : 4. A is (5, −2) and B is (−5, 13). 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 : 3. A is (−4, −4) and P is (−2, −6). Find B. Type it like (2, −1).

    Answer

  14. Question 14

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

    Answer

  16. Question 16

    P lies on AB with AP : PB = 1 : 4. A is (4, 2) and B is (9, 12). 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: Find the point that divides a segment in a given ratio

  1. 1. (2, 11)

  2. 2. (−5, 0)

  3. 3. (−1, 12)

  4. 4. (−7, 10)

  5. 5. (8, −1)

  6. 6. (11, −8)

  7. 7. (0, −7)

  8. 8. (−1, 1)

  9. 9. (−9, −10)

  10. 10. (7, 2)

  11. 11. (−5, 10)

  12. 12. (3, 1)

  13. 13. (4, −12)

  14. 14. (0, −1)

  15. 15. (7, 12)

  16. 16. (5, 4)