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Free · Class 9–10 · 5 worksheets · answer keys · practise online · set 21

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 21
Name:Date:Score:    / 12

Write the quadrant or the axis.

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

Abscissa and ordinate

Class 9 · Worksheet 2 · set 21
Name:Date:Score:    / 12

Write the value.

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

Distance formula

Class 10 · Worksheet 3 · set 21
Name:Date:Score:    / 10

Find the distance (simplest surd form).

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

Mid-point

Class 10 · Worksheet 4 · set 21
Name:Date:Score:    / 10

Find the mid-point.

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

Section formula

Class 10 · Worksheet 5 · set 21
Name:Date:Score:    / 6

Find the coordinates of the point.

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

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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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