Practice Coordinate Representation in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Describing geometric objects precisely using ordered pairs (x, y) or triples (x, y, z) in a coordinate system.

Every point has a unique numerical 'address' like (3, 4) that locates it exactly on the plane.

Example 1

easy
Plot points A(2, 5), B(-3, 1), C(0, -4) on the coordinate plane and find the distance from A to B.

Example 2

medium
Write the equation of the circle with centre (-2, 3) and radius 5 in standard form. Verify that the point (3, 3) lies on the circle.

Example 3

easy
Find the midpoint of the segment joining P(-4, 6) and Q(8, -2).

Example 4

hard
Three vertices of a parallelogram are A(1,2), B(5,2), C(7,6). Using coordinate methods, find the fourth vertex D and compute the area of the parallelogram.
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