Printable · GCSE Foundation · ages 14-16
Geometrical problems on coordinate axes worksheet — GCSE Foundation
Fifteen questions on "geometrical problems on coordinate axes" — DfE statement G11. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
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Geometrical problems on coordinate axes worksheet — GCSE Foundation
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- 1.Which pair of points lies on a horizontal line when the points are plotted on a coordinate grid?
- 2.Work out the y-coordinate of the midpoint of the line segment joining (2, 4) and (8, 10).
- 3.A rectangle has vertices at (2, 1), (9, 1), (9, 5) and (2, 5). Work out the area of the rectangle.
- 4.The point (0, −5) lies on one of the two coordinate axes. Write down which axis this is.
- 5.The point A(3, 2) is translated by the vector (−5, 4) to give point B. Work out the coordinates of B.
- 6.A triangle has vertices A(0, 0), B(10, 0) and C(5, 12). Work out the area of the triangle.
- 7.The point (4, −3) is reflected in the y-axis. Work out the coordinates of the image point.
- 8.A path goes from A(1, 1) to B(1, 5), then from B to C(6, 5). Work out the total length of the path from A to C.
- 9.State whether the line segment joining A(−4, 3) and B(2, 6) is horizontal, vertical or neither, and give a reason for your answer.
- 10.The midpoint of the line segment AB is (3, 5). A is the point (1, 3). Work out the coordinates of B.
- 11.The point (2, 5) is translated 3 units right and 4 units down. Work out the coordinates of the image point.
- 12.A is the point (1, 3) and B is the point (7, 3). Work out the coordinates of the midpoint of AB.
- 13.A line segment joins A(1, 1) and B(4, 7). Write down the sign of the gradient of this line.
- 14.A triangle has vertices A(1, 1), B(5, 1) and C(5, 4). Work out the lengths of AB, BC and CA, and write down whether triangle ABC is right-angled.
- 15.P is the point (3, 4) and Q is the point (6, 0). Work out the distance of each point from the origin, and write down which point is closer to the origin.
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