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Free · Class 9–10 · 5 worksheets · answer keys · practise online · set 18

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 18
Name:Date:Score:    / 12

Write the quadrant or the axis.

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

Abscissa and ordinate

Class 9 · Worksheet 2 · set 18
Name:Date:Score:    / 12

Write the value.

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

Distance formula

Class 10 · Worksheet 3 · set 18
Name:Date:Score:    / 10

Find the distance (simplest surd form).

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

Mid-point

Class 10 · Worksheet 4 · set 18
Name:Date:Score:    / 10

Find the mid-point.

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

Section formula

Class 10 · Worksheet 5 · set 18
Name:Date:Score:    / 6

Find the coordinates of the point.

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

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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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