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Free · Class 9–10 · 5 worksheets · answer keys · practise online · set 17

Coordinate geometry worksheets — Class 9 and 10

Free coordinate geometry worksheets: quadrants, abscissa and ordinate (Class 9), distance formula, mid-point and section formula (Class 10) — new points every set, with answers.

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Quadrants (Class 9)Abscissa and ordinate (Class 9)Distance formula (Class 10)Mid-point (Class 10)Section formula (Class 10)

Quadrants

Class 9 · Worksheet 1 · set 17
Name:Date:Score:    / 12

Write the quadrant or the axis.

  1. Where does the point (−4, −6) lie?
  2. Where does the point (−4, −7) lie?
  3. Where does the point (−7, −3) lie?
  4. Where does the point (8, 8) lie?
  5. Where does the point (−7, −8) lie?
  6. Where does the point (−6, −4) lie?
  7. Where does the point (0, 7) lie?
  8. Where does the point (−7, −2) lie?
  9. Where does the point (4, −7) lie?
  10. Where does the point (−6, −9) lie?
  11. Where does the point (8, −8) lie?
  12. Where does the point (9, 0) lie?

Abscissa and ordinate

Class 9 · Worksheet 2 · set 17
Name:Date:Score:    / 12

Write the value.

  1. Abscissa of (−5, 8)
  2. Abscissa of (0, 1)
  3. Abscissa of (1, 6)
  4. Abscissa of (0, −4)
  5. Abscissa of (−9, 7)
  6. Abscissa of (−3, −3)
  7. Ordinate of (4, 5)
  8. Abscissa of (−9, −5)
  9. Abscissa of (2, 7)
  10. Abscissa of (6, 1)
  11. Abscissa of (−8, 3)
  12. Ordinate of (−3, 3)

Distance formula

Class 10 · Worksheet 3 · set 17
Name:Date:Score:    / 10

Find the distance (simplest surd form).

  1. Distance between (−8, 0) and (−2, −6)
  2. Distance between (6, −2) and (7, −5)
  3. Distance between (7, 5) and (−1, 3)
  4. Distance between (−3, −2) and (7, −1)
  5. Distance between (−6, −1) and (4, 6)
  6. Distance between (−8, −1) and (4, 8)
  7. Distance between (−3, 0) and (−1, −8)
  8. Distance between (3, 3) and (5, −1)
  9. Distance between (−8, 1) and (−1, 2)
  10. Distance between (−4, −3) and (−1, −2)

Mid-point

Class 10 · Worksheet 4 · set 17
Name:Date:Score:    / 10

Find the mid-point.

  1. Mid-point of (−4, −4) and (7, 1)
  2. Mid-point of (−5, 9) and (−8, −4)
  3. Mid-point of (−1, −4) and (5, 7)
  4. Mid-point of (−1, −8) and (5, −9)
  5. Mid-point of (−4, −3) and (−6, −5)
  6. Mid-point of (9, −4) and (−9, 8)
  7. Mid-point of (−6, 6) and (5, −1)
  8. Mid-point of (9, −9) and (−5, −5)
  9. Mid-point of (−8, 0) and (−9, −9)
  10. Mid-point of (−6, −7) and (−3, 7)

Section formula

Class 10 · Worksheet 5 · set 17
Name:Date:Score:    / 6

Find the coordinates of the point.

  1. Point dividing the join of A(−1, 4) and B(−6, 4) in the ratio 4 : 1
  2. Point dividing the join of A(−3, −6) and B(5, 2) in the ratio 1 : 3
  3. Point dividing the join of A(−5, −8) and B(5, 7) in the ratio 1 : 4
  4. Point dividing the join of A(−2, 7) and B(5, 0) in the ratio 3 : 4
  5. Point dividing the join of A(−8, −8) and B(8, 0) in the ratio 1 : 3
  6. Point dividing the join of A(−3, −1) and B(9, −1) in the ratio 1 : 2

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Questions

What is the distance of a point (x, y) from the origin?

√(x² + y²). For (3, 4) it is √(9 + 16) = 5.

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