Coordinate Geometry
Class 10 · Mathematics
3 ideas in Class 10 Mathematics, explained in plain words, with games and quizzes to practise.
Coordinates and Distance Formula
Part of: Coordinates and Distance Formula
A point is located by its ordered x and y coordinates. The distance formula follows from the Pythagorean theorem and always gives a nonnegative length.
Why it matters. Coordinates turn geometric questions about length and position into algebraic calculations.
Try it in two minutes
- Write both ordered pairs carefully.
- Choose distance, classification or section rule as needed.
- Check that coordinates and ratios match the requested order.
Try at home. Plot two points on graph paper and use horizontal and vertical changes to estimate their separation.
Using Distances to Classify Figures
Part of: Using Distances to Classify Figures
Distances between coordinate points can establish side lengths, diagonals, right angles and collinearity. Squared distances can simplify comparisons.
Why it matters. Coordinates turn geometric questions about length and position into algebraic calculations.
Try it in two minutes
- Write both ordered pairs carefully.
- Choose distance, classification or section rule as needed.
- Check that coordinates and ratios match the requested order.
Try at home. Plot two points on graph paper and use horizontal and vertical changes to estimate their separation.
Section and Midpoint Formulae
Part of: Section and Midpoint Formulae
The section formula finds an internal division point using endpoint coordinates and a ratio. The midpoint is the special case of equal division.
Why it matters. Coordinates turn geometric questions about length and position into algebraic calculations.
Try it in two minutes
- Write both ordered pairs carefully.
- Choose distance, classification or section rule as needed.
- Check that coordinates and ratios match the requested order.
Try at home. Plot two points on graph paper and use horizontal and vertical changes to estimate their separation.
What your child will practise
- Coordinates and Distance Formula: Candy Quick Fire (Quick Fire)
- Coordinates and Distance Formula: Number Quest (Match It Up)
- Coordinates and Distance Formula: Ocean Puzzle (Clue Puzzle)
- Section and Midpoint Formulae: Mission Control Quest (Collect the Answer)
- Using Distances to Classify Figures: Space Quick Fire (Quick Fire)
- Quiz: Coordinates and Distance Formula (8 questions)
- Quiz: Section and Midpoint Formulae (8 questions)
- Quiz: Using Distances to Classify Figures (8 questions)