GCSE Maths Practice: coordinates

The midpoint of a line segment is the point exactly halfway between two endpoints. To calculate it, add the x-coordinates of the two points and divide by 2, and do the same for the y-coordinates. For example, between points (2,7) and (8,3), the midpoint x-coordinate is (2+8)/2 = 5, and the y-coordinate is (7+3)/2 = 5, giving (5,5). Understanding midpoints is useful for bisecting lines, finding centers, and solving coordinate geometry problems. Midpoints are also used in geometric constructions, locating centers of shapes, and analyzing symmetry. It is helpful to plot the points on graph paper and visually confirm the midpoint location. Practicing multiple examples strengthens familiarity with the formula and reinforces the connection between algebraic calculations and geometric interpretation. Midpoints also appear in real-world problems like map plotting, computer graphics, and physics applications involving center of mass. Consistent practice ensures quick and accurate calculations for both foundation and higher-level questions.