Chapter 10 of Class 5 Maths Mela, Symmetrical Designs, explores reflection and rotational symmetry through rangoli, kolam, and design-completion activities.
Key Concepts
Line (reflection) symmetry: a shape has a line of symmetry if folding along that line makes both halves match exactly.
Types of symmetry lines: vertical, horizontal, and diagonal — for example, the letter A has one vertical line of symmetry, while H has both vertical and horizontal.
Rotational symmetry: a shape that looks the same after being turned by 90°, 180°, or 270°.
Quick Recap
- To complete half of a symmetrical design, use the mirror line as a guide for the missing half.
- Rangoli and kolam patterns are a great real-world way to spot both line and rotational symmetry.
Common Mistake to Avoid
Assuming every shape has a line of symmetry — many everyday shapes (like a scalene triangle) have none at all; always test by folding or checking carefully.
Frequently Asked Questions
How do you check if a letter has a line of symmetry?
Imagine folding it along a line — if both halves match up exactly, that line is a line of symmetry.
Can a shape have both line and rotational symmetry?
Yes — a square, for example, has four lines of symmetry and also looks the same after a 90° turn.
Full walkthrough: Chapter 10 Solutions · Extra Questions.
