Mathematics · Class 3
Shapes and Designs
Learn Shapes and Designs with notes, examples, and practice questions.
3 sections15–25 min read3 MCQs · 1 examples
Chapter Overview
A line of symmetry divides a figure into matching mirror halves.
Shapes and Designs explores properties of 2D shapes, symmetry, tiling, and arrangements. Learners classify shapes by sides and corners and create designs using repeated or reflected shapes.
Properties of Shapes
- Triangles have 3 sides; quadrilaterals have 4.
- A square has 4 equal sides and 4 corners.
- Circles have a curved boundary and no corners.
Symmetry and Tiling
- Fold a symmetric shape along its line of symmetry to match both halves.
- Tiles cover a surface without gaps or overlaps.
- Squares and rectangles tile easily because straight edges fit together.
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Test a Design
A square paper is folded through its middle. Do the two halves match?
- 1The fold passes through the centre.
- 2Each side has the same size and outline.
- 3The halves lie exactly on each other.
Answer
Yes; the fold is a line of symmetry.
Key Points to Remember
- ✓ Sides and corners identify polygons
- ✓ Symmetric halves match
- ✓ A tiling has no gaps or overlaps
Exam Tips
- • Count each side and corner once
- • Imagine folding before deciding symmetry
Practice MCQs — Shapes and Designs
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 3Score: 0/0
How many sides does a quadrilateral have?