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.
Non-calculator
Geometrical problems on coordinate axes worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.The point (5, −2) is reflected in the x-axis. Work out the coordinates of the image point.
- 2.Write down which quadrant contains the point (−3, 5) when plotted on a coordinate grid.
- 3.A rectangle has vertices A(1, 1), B(4, 1), C(4, 5) and D(1, 5). Work out the perimeter of the rectangle.
- 4.Triangle PQR has vertices P(0, 0), Q(9, 0) and R(0, 4). Work out the area of triangle PQR.
- 5.The point A(3, 2) is translated by the vector (−5, 4) to give point B. Work out the coordinates of B.
- 6.Work out the distance between the point (0, 0) and the point (5, 12).
- 7.Work out the length of the straight line segment joining the points (2, −4) and (−3, −4).
- 8.The point (2, 5) is translated 3 units right and 4 units down. Work out the coordinates of the image point.
- 9.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.
- 10.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.
- 11.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.
- 12.Work out the y-coordinate of the midpoint of the line segment joining (2, 4) and (8, 10).
- 13.A triangle has vertices A(0, 0), B(10, 0) and C(5, 12). Work out the area of the triangle.
- 14.The point (4, −3) is reflected in the y-axis. Work out the coordinates of the image point.
- 15.A is the point (1, 3) and B is the point (7, 3). Work out the coordinates of the midpoint of AB.
Build your own mix at the worksheet builder.