1. In the ordered pair (5, 3), what is the x-coordinate (abscissa)?
- A3
- B5
- C8
- D2
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Answer: B) 5
In (x, y) the first number is the x-coordinate. So the x-coordinate of (5, 3) is 5.
Class 8 Coordinates of a Point — practice questions with answers
Coordinate Geometry · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
2. How far is the point (0, 4) from the origin?
- A8
- B5
- C4
- D3
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Answer: C) 4
(0, 4) is on the y-axis, 4 units above the origin, so the distance is 4 units.
3. A point in Quadrant IV has which sign pattern for (x, y)?
- A(+, +)
- B(-, +)
- C(-, -)
- D(+, -)
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Answer: D) (+, -)
Quadrant IV has positive x and negative y, i.e. (+, -).
4. A rectangle has corners P(1, 1), Q(7, 1), R(7, 4) and S(1, 4), with sides parallel to the axes.
Find its length (along the x-direction) and breadth (along the y-direction), then its area.
What is the area of the rectangle (in square units)?
Find its length (along the x-direction) and breadth (along the y-direction), then its area.
What is the area of the rectangle (in square units)?
- A19
- B18
- C36
- D17
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Answer: B) 18
Length = 7 - 1 = 6, breadth = 4 - 1 = 3. Area = 6 x 3 = 18 square units.
5. On a grid, a square has its centre at (4, 4) and its sides parallel to the axes. One vertex of the square is at (1, 1).
Find the half-diagonal distances: the vertex is 3 left and 3 down from the centre.
What are the coordinates of the opposite vertex?
Find the half-diagonal distances: the vertex is 3 left and 3 down from the centre.
What are the coordinates of the opposite vertex?
- A(7, 7)
- B(1, 7)
- C(7, 1)
- D(4, 4)
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Answer: A) (7, 7)
The centre is the midpoint of the diagonal. Opposite vertex = (2*4 - 1, 2*4 - 1) = (8 - 1, 8 - 1) = (7, 7).
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