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.
Geometrical problems on coordinate axes worksheet — GCSE Foundation
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- 1.The point A(3, 2) is translated by the vector (−5, 4) to give point B. Work out the coordinates of B.
- 2.Work out the y-coordinate of the midpoint of the line segment joining (2, 4) and (8, 10).
- 3.Work out the distance between the point (0, 0) and the point (5, 12).
- 4.Work out the length of the straight line segment joining the points (2, −4) and (−3, −4).
- 5.Triangle PQR has vertices P(0, 0), Q(9, 0) and R(0, 4). Work out the area of triangle PQR.
- 6.A(1, 2), B(5, 2) and C(5, 6) are three of the four vertices of a square ABCD. Work out the coordinates of D.
- 7.The midpoint of the line segment AB is (3, 5). A is the point (1, 3). Work out the coordinates of B.
- 8.A triangle has vertices A(0, 0), B(10, 0) and C(5, 12). Work out the area of the triangle.
- 9.Triangle PQR has vertices P(0, 0), Q(6, 0) and R(0, 8). Work out the perimeter of the triangle.
- 10.Which pair of points lies on a horizontal line when the points are plotted on a coordinate grid?
- 11.Write down which quadrant contains the point (−3, 5) when plotted on a coordinate grid.
- 12.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.
- 13.The point (0, −5) lies on one of the two coordinate axes. Write down which axis this is.
- 14.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.
- 15.A is the point (1, 3) and B is the point (7, 3). Work out the coordinates of the midpoint of AB.
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