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Free · Class 9–10 · 5 worksheets · answer keys · practise online · set 24

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 24
Name:Date:Score:    / 12

Write the quadrant or the axis.

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

Abscissa and ordinate

Class 9 · Worksheet 2 · set 24
Name:Date:Score:    / 12

Write the value.

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

Distance formula

Class 10 · Worksheet 3 · set 24
Name:Date:Score:    / 10

Find the distance (simplest surd form).

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

Mid-point

Class 10 · Worksheet 4 · set 24
Name:Date:Score:    / 10

Find the mid-point.

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

Section formula

Class 10 · Worksheet 5 · set 24
Name:Date:Score:    / 6

Find the coordinates of the point.

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