Geometry: Congruence & Symmetry
Shapes that are identical, shapes that are scaled, and the balance in between.
What this lesson covers
Geometry: Congruence & Symmetry is a 10-part Class 7 Mathematics lesson. Each part makes one point and then hands over to the next, so it can be read in a sitting or picked up again at the part you stopped on. It defines the idea in plain words before using it, works through an example step by step, breaks the topic into its parts and compares them, shows where it is used outside the textbook, names the mistakes that cost marks in an exam, ends with a recap of what to remember.
How it begins
Congruent, exactly the same shape and size. One could be placed perfectly on top of the other, after turning or flipping. Similar, the same shape but a different size. All angles equal, all sides in the same ratio. Every congruent pair is also similar (with a scale factor of 1), but not the other way round. A photograph and its enlargement are similar. Two copies of the same photograph are congruent.
The 10 parts
- Congruent and similar
- Proving triangles congruent
- Lines of symmetry
- Rotational symmetry
- Using similarity to measure the unreachable
- Transformations
- Where this is used
- Where it usually goes wrong
- What to remember
- Watch one worked through
Practise Geometry: Congruence & Symmetry
Everything on QuizByt for Class 7 Mathematics that goes with this lesson: read it first, then test yourself while it is fresh.
🧠 5 quizzes on Geometry: Congruence & Symmetry (2 easy, 2 medium, 1 hard)
Work up from easy to hard: the hard quiz asks the Class 7 exam-style questions on Geometry: Congruence & Symmetry.
🖨️ Printable worksheet
Geometry: Congruence & Symmetry on paper for Class 7, with room to write the working out. Preview the first page free.
🎮 Games for Class 7 Mathematics
Number and logic games at the right level for Class 7. Passing a quiz on Geometry: Congruence & Symmetry earns the credits that open them.
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