Mathematics & Its Pedagogy
Basic Geometry — Shapes & Symmetry
Mathematics & Pedagogy
Paper I
4 topics
What this chapter covers
The 4 topics below make up Basic Geometry — Shapes & Symmetry in the CTET syllabus. Open any topic for notes, solved examples and a practice MCQ test.
1Plane Shapes (2-D Shapes)
2Properties of Shapes
3Geometrical Concepts
4Symmetry
Study material & tests
📚 Study this chapter
Concept notes, key points, solved examples and hint-guided practice for every topic.
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🎯 Topic MCQ tests
8 auto-graded CTET-style questions per topic, with full explanations.
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📝 Chapter test
25 fresh mixed-difficulty questions, timed, with solutions.
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Key Concepts — Quick Reference
This chapter
Shape facts (sides, corners, boundary)
| Triangle | 3 straight sides, 3 vertices, angles add to 180 deg |
|---|---|
| Square | 4 equal sides, 4 vertices, all angles 90 deg |
| Rectangle | opposite sides equal, 4 vertices, all angles 90 deg |
| Circle | 0 straight sides, 0 vertices, one continuous curved boundary |
| Semicircle | 1 straight edge (diameter) + 1 curved edge (arc) |
| Pentagon / Hexagon | 5 sides 5 vertices / 6 sides 6 vertices |
Properties & symmetry at a glance
| Polygon | closed figure made only of straight line segments (min 3) |
|---|---|
| Open vs closed | closed encloses a region (start = end); open does not (an arc, the letter C) |
| Lines of symmetry | square 4, rectangle 2, equilateral triangle 3, circle infinite, scalene triangle 0 |
| Point / Line / Ray | point = no dimension; line = both ends infinite; ray = one endpoint, one end infinite |