Free · Class 9–10 · 5 worksheets · answer keys · practise online · set 2

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 2
Name:Date:Score:    / 12

Write the quadrant or the axis.

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

Abscissa and ordinate

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

Write the value.

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

Distance formula

Class 10 · Worksheet 3 · set 2
Name:Date:Score:    / 10

Find the distance (simplest surd form).

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

Mid-point

Class 10 · Worksheet 4 · set 2
Name:Date:Score:    / 10

Find the mid-point.

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

Section formula

Class 10 · Worksheet 5 · set 2
Name:Date:Score:    / 6

Find the coordinates of the point.

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

More worksheets

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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