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.The point (4, −3) is reflected in the y-axis. Work out the coordinates of the image point.
- 2.A line segment joins A(1, 1) and B(4, 7). Write down the sign of the gradient of this line.
- 3.The point (0, −5) lies on one of the two coordinate axes. Write down which axis this is.
- 4.Work out the gradient of the line segment joining A(2, 3) and B(6, 11).
- 5.Triangle PQR has vertices P(0, 0), Q(9, 0) and R(0, 4). Work out the area of triangle PQR.
- 6.Write down which quadrant contains the point (−3, 5) when plotted on a coordinate grid.
- 7.The point A(3, 2) is translated by the vector (−5, 4) to give point B. Work out the coordinates of B.
- 8.Triangle PQR has vertices P(0, 0), Q(6, 0) and R(0, 8). Work out the perimeter of the triangle.
- 9.Work out the distance between the point (0, 0) and the point (5, 12).
- 10.A rectangle has vertices A(1, 1), B(4, 1), C(4, 5) and D(1, 5). Work out the perimeter of the rectangle.
- 11.A quadrilateral has vertices A(1, 1), B(5, 1), C(6, 4) and D(2, 4). By comparing the y-coordinates of A, B and of D, C, write down whether the sides AB and DC are parallel, and give a reason for your answer.
- 12.The point (5, −2) is reflected in the x-axis. Work out the coordinates of the image point.
- 13.Work out the y-coordinate of the midpoint of the line segment joining (2, 4) and (8, 10).
- 14.The point (2, 5) is translated 3 units right and 4 units down. Work out the coordinates of the image point.
- 15.Work out the length of the straight line segment joining the points (2, −4) and (−3, −4).
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