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

  • 1Calculate perimeter of rectangles and squares using formulas
  • 2Understand area as the space covered by a flat shape; count unit squares to find area
  • 3Identify acute (< 90°), right (= 90°), and obtuse (> 90°) angles
  • 4Draw all lines of symmetry for regular shapes (square: 4, rectangle: 2, equilateral triangle: 3, circle: infinite)
  • 5Name the parts of a circle: centre, radius, diameter (diameter = 2 × radius)
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Why this chapter matters
Class 4 Geometry builds directly on Class 3, introducing area (space inside) alongside perimeter, types of angles (acute, right, obtuse), and deeper symmetry work. These concepts transform children from shape identifiers to shape analysts.

Before you start — revise these

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

Geometry — Class 4 Mathematics (Samacheer Kalvi)

TN State Board (Samacheer Kalvi) Class 4 Mathematics, Chapter 1. Angles, quadrilaterals and basic symmetry.


1. About this chapter

This chapter covers Geometry as part of the Class 4 Samacheer Kalvi Mathematics curriculum. It deals with angles, quadrilaterals and basic symmetry 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 types of angles
  • Classify quadrilaterals by properties

2. Key concepts

  • Concept 1: Identify and name types of angles.
  • Concept 2: Classify quadrilaterals by properties.

3. Important terms and formulas

Term / FormulaDescription
Identify and name types…Identify and name types of angles
Classify quadrilaterals by properties…Classify quadrilaterals by properties

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 4 Mathematics — Chapter 1: Geometry.
  • Core idea: Angles, quadrilaterals and basic symmetry.
  • Key outcomes: Identify and name types of angles; Classify quadrilaterals by properties.
  • 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.

Perimeter and Area
Perimeter: Rectangle = 2×(l+b), Square = 4×side. Area: count unit squares inside the shape. Rectangle area = l × b, Square area = side × side.
Perimeter is the FENCE around a park; area is the GRASS inside the park. Two shapes can have the same perimeter but different areas.
Angles
Acute < 90° (sharp, narrow — like a pizza slice). Right = 90° (perfect L shape — corner of a book). Obtuse > 90° but < 180° (wide — like an open laptop screen).
The corner of every page you read has a right angle. Look around — right angles are everywhere in buildings, desks, and books.
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Common mistakes & fixes

These are the exact errors that cost students marks in board exams. Read them once, save yourself the trouble.

WATCH OUT
Confusing perimeter and area; adding all sides for area
Perimeter = ADD all sides (the outside walk). Area = MULTIPLY length × breadth (the inside space).
Verified by the tuition.in editorial team
Last reviewed on 3 June 2026. Written and reviewed by subject-matter experts — read about our process.
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