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
MathsUKwww.geekhero.co.uk
- 1.A rectangle has vertices at (2, 1), (9, 1), (9, 5) and (2, 5). Work out the area of the rectangle.
- 2.The point (4, −3) is reflected in the y-axis. Work out the coordinates of the image point.
- 3.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.
- 4.Work out the distance between the points (−3, 4) and (5, −2).
- 5.Work out the y-coordinate of the midpoint of the line segment joining (2, 4) and (8, 10).
- 6.A is the point (1, 3) and B is the point (7, 3). Work out the coordinates of the midpoint of AB.
- 7.Write down which quadrant contains the point (−3, 5) when plotted on a coordinate grid.
- 8.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.
- 9.Work out the distance between the point (0, 0) and the point (5, 12).
- 10.Which pair of points lies on a horizontal line when the points are plotted on a coordinate grid?
- 11.Work out the length of the straight line segment joining the points (2, −4) and (−3, −4).
- 12.The midpoint of the line segment AB is (3, 5). A is the point (1, 3). Work out the coordinates of B.
- 13.The point (2, 5) is translated 3 units right and 4 units down. Work out the coordinates of the image point.
- 14.Triangle PQR has vertices P(0, 0), Q(9, 0) and R(0, 4). Work out the area of triangle PQR.
- 15.The point (0, −5) lies on one of the two coordinate axes. Write down which axis this is.
Build your own mix at the worksheet builder.