Distance and Midpoint Formulas

Start with the formulas

The resources on this page bring together ways to study distance and midpoint calculations using coordinates. Start with the Unit 6 mind map for an overview of ordered pairs, distance and midpoint formulas. It also connects algebra and geometry through the coordinate plane.

For a closer look at distance, the notes titled Distance Formula and how to apply it describe using the formula to find the length of a side when two points are given. Another set of notes covers both the length of a line segment and its midpoint.

Work through midpoint calculations

The mind map on finding the midpoint of a line segment sets out a sequence: label the points, add the x coordinates and divide by two, then do the same with the y coordinates. Use it as a reference while you work through a question.

The quiz on coordinate geometry and linear relations asks for the midpoint of a segment from the coordinates of its endpoints. Try that after reviewing the map. Then move to Missing endpoint practice, which gives an endpoint and a midpoint and asks for the other endpoint.

Use quizzes and maps together

The Coordinate Geometry quiz asks which equation represents the distance formula. Before answering, look at the Co-ordinate Geometry mind map, which displays the formula. You can then return to the map to compare the expression with the quiz question.

Use the maps to follow the parts of a calculation, and the quizzes to practice recognizing or applying them. If a question is difficult, return to the relevant map or notes before trying it again.

Explore the unit

Distance and Midpoint Formulas is a section of the Coordinate Geometry unit in Mathematics. The resources here connect formulas with points and line segments on the coordinate plane. Choose a resource that matches the calculation you want to practice.