Similarity and Thales
Similarity ratio, similarity cases, the theorem of Thales, uses, areas and volumes
The Similarity and Thales unit belongs to the Geometry and trigonometry section of Math Mental and has 17 lessons: similarity ratio, similarity cases, the theorem of Thales, uses, areas and volumes.
Lessons in this unit
- Similarity ratio
- Ratio between perimeters
- Unknown side
- Similarity cases
- Line parallel to a side
- Metric relations
- Practice: similar triangles
- The theorem of Thales
- Thales with expressions
- Three parallels and two transversals
- Shadow and height
- Map and model
- Ratio between areas
- Ratio between volumes
- From the area to the ratio
- Review: Thales, shadows and scales
- Similarity test
How to work through this unit
Follow the lesson order
The unit has 17 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 Similarity and Thales unit cover?
Similarity and Thales belongs to the Geometry and trigonometry section and has 17 lessons: similarity ratio, similarity cases, the theorem of Thales, uses, areas and volumes. 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 Similarity and Thales?
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 Similarity and Thales 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 Similarity and Thales 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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