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

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 9
Name:Date:Score:    / 12

Write the quadrant or the axis.

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

Abscissa and ordinate

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

Write the value.

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

Distance formula

Class 10 · Worksheet 3 · set 9
Name:Date:Score:    / 10

Find the distance (simplest surd form).

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

Mid-point

Class 10 · Worksheet 4 · set 9
Name:Date:Score:    / 10

Find the mid-point.

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

Section formula

Class 10 · Worksheet 5 · set 9
Name:Date:Score:    / 6

Find the coordinates of the point.

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