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Free · Class 9–10 · 5 worksheets · answer keys · practise online · set 23

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 23
Name:Date:Score:    / 12

Write the quadrant or the axis.

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

Abscissa and ordinate

Class 9 · Worksheet 2 · set 23
Name:Date:Score:    / 12

Write the value.

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

Distance formula

Class 10 · Worksheet 3 · set 23
Name:Date:Score:    / 10

Find the distance (simplest surd form).

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

Mid-point

Class 10 · Worksheet 4 · set 23
Name:Date:Score:    / 10

Find the mid-point.

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

Section formula

Class 10 · Worksheet 5 · set 23
Name:Date:Score:    / 6

Find the coordinates of the point.

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

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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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