Analytic geometry
Cartesian plane, distance, midpoint, line equations, circle and determinant
The Analytic geometry unit belongs to the Geometry and trigonometry section of Math Mental and has 19 lessons: cartesian plane, distance, midpoint, line equations, circle and determinant.
Lessons in this unit
- Quadrants of the plane
- Points on the axes
- Distance between points
- Distance with a radical
- Midpoint
- Slope
- Slope from the general equation
- Reduced equation of the line
- General equation of the line
- Practice: points and lines
- Parallel lines
- Perpendicular lines
- Distance from a point to a line
- Equation of the circle
- Centre and radius from the general equation
- Area by determinant
- Aligned points
- Review: circle and determinant
- Analytic geometry test
How to work through this unit
Follow the lesson order
The unit has 19 lessons of increasing difficulty. Finish one before moving on: the early techniques come back in the later questions.
Solve it before reading the solution
Work every question out on your own, then read the step by step and check the reason for each step instead of only comparing the final answer.
Lock it in during review
The question types you miss come back in practice and review until you get them right in a row. The unit test confirms the whole unit stuck.
Frequently asked questions about this unit
What does the Analytic geometry unit cover?
Analytic geometry belongs to the Geometry and trigonometry section and has 19 lessons: cartesian plane, distance, midpoint, line equations, circle and determinant. The lessons start with the basic cases and build up to applications, always with a step-by-step solution.
What should I know before studying Analytic geometry?
This page names the previous unit on the path. If it is not solid yet, go back and practice first; if there is no prerequisite, this is where the path begins.
How long does Analytic geometry take?
Each lesson takes a few minutes. Most students do one or two a day and finish a unit in one or two weeks. The goal is answering correctly day after day, not clearing everything at once.
Are the Analytic geometry exercises free?
Yes. Every Math Mental lesson is free and ad-free; you only need an account to save your progress.
Your first lesson takes five minutes
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