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Free · Class 9–10 · 5 worksheets · answer keys · practise online · set 12

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 12
Name:Date:Score:    / 12

Write the quadrant or the axis.

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

Abscissa and ordinate

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

Write the value.

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

Distance formula

Class 10 · Worksheet 3 · set 12
Name:Date:Score:    / 10

Find the distance (simplest surd form).

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

Mid-point

Class 10 · Worksheet 4 · set 12
Name:Date:Score:    / 10

Find the mid-point.

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

Section formula

Class 10 · Worksheet 5 · set 12
Name:Date:Score:    / 6

Find the coordinates of the point.

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