By the end of this chapter you'll be able to…

  • 1Measure angles using a protractor to the nearest degree
  • 2Classify triangles by sides (equilateral, isosceles, scalene) and by angles (acute, right, obtuse)
  • 3Identify nets of cubes, cuboids, cylinders, cones, and pyramids
  • 4Understand rotational symmetry: a square has rotational symmetry of order 4 (looks the same 4 times in a full turn)
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Why this chapter matters
Class 5 Geometry introduces angles in degrees, triangle classification, nets of 3D shapes, and rotational symmetry. Children learn to measure and draw angles using a protractor, classify triangles by sides and angles, and understand the nets (2D patterns) that fold into 3D shapes.

Before you start — revise these

A 5-minute refresher here will save you 30 minutes of confusion below.

Geometry — Class 5 Mathematics (Samacheer Kalvi)

TN State Board (Samacheer Kalvi) Class 5 Mathematics, Chapter 1. Polygons, nets and 3D shapes.


1. About this chapter

This chapter covers Geometry as part of the Class 5 Samacheer Kalvi Mathematics curriculum. It deals with polygons, nets and 3d shapes and builds conceptual understanding essential for the TN School Term Exam.

By the end of this chapter, students will be able to:

  • Identify and name polygons
  • Draw nets of simple 3D shapes

2. Key concepts

  • Concept 1: Identify and name polygons.
  • Concept 2: Draw nets of simple 3D shapes.

3. Important terms and formulas

Term / FormulaDescription
Identify and name polygons…Identify and name polygons
Draw nets of simple…Draw nets of simple 3D shapes

4. Worked examples

Example 1. Applying a key concept from this chapter.

Solution: Identify the relevant principle → apply the formula or rule → state the answer with correct units.

Example 2. A typical exam-style question on geometry.

Solution: Break the problem into steps, use the appropriate formula and verify the answer.

5. Common mistakes

  • Mistake: Skipping units or forgetting to state them. Fix: Always write units alongside every quantity and answer.
  • Mistake: Confusing similar terms or concepts in this chapter. Fix: Make a comparison table of the terms during revision.

6. Practice (exam-style)

  1. Define the main term or principle covered in Chapter 1.
  2. Give two real-life examples related to geometry.
  3. Solve a short numerical or descriptive question from this chapter.
  4. State one important formula and explain each symbol.

7. Answer key (hints)

  1. Refer to section 2 (Key concepts) above for the definition.
  2. Examples should be drawn from daily experience and local context.
  3. Apply the formula from section 3, show all steps clearly.
  4. Formula with units — refer to the textbook glossary for symbol meanings.

8. Quick revision

  • Class 5 Mathematics — Chapter 1: Geometry.
  • Core idea: Polygons, nets and 3D shapes.
  • Key outcomes: Identify and name polygons; Draw nets of simple 3D shapes.
  • Always revise diagrams / tables from the Samacheer Kalvi textbook before the exam.

Key formulas & results

Everything you need to memorise, in one card. Screenshot this for revision.

Triangle classification
By sides: Equilateral (3 equal sides, 3 equal 60° angles). Isosceles (2 equal sides, 2 equal base angles). Scalene (no equal sides, no equal angles). By angles: Acute (all angles < 90°). Right (one angle = 90°). Obtuse (one angle > 90°).
A triangle CANNOT have more than one right angle or more than one obtuse angle. The angles always sum to 180°.
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Last reviewed on 3 June 2026. Written and reviewed by subject-matter experts — read about our process.
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