Chapter 10, Symmetrical Designs, explores two kinds of symmetry: reflection (line) symmetry, where one half mirrors the other across a line, and rotational symmetry, where a shape matches itself after being turned part of the way around. These questions test both.
Practice Questions
Q1. A butterfly’s wings look identical on either side of its body. What kind of symmetry is this?
This is reflection (line) symmetry, with the body as the line of symmetry.
Q2. How many lines of symmetry does a square have?
A square has 4 lines of symmetry: 2 diagonals and 2 lines through the midpoints of opposite sides.
Q3. A pinwheel design looks unchanged after being turned partway around its centre. What is this symmetry called?
This is rotational symmetry.
Q4. How many lines of symmetry does a circle have?
Infinitely many — any line drawn through the centre of a circle is a line of symmetry.
Q5. Does the capital letter “A” have a line of symmetry? If so, where?
Yes, it has one vertical line of symmetry running straight down its middle.
Why These Help
Symmetry appears everywhere — in rangoli patterns, architecture, leaves and logos — and learning to spot both reflection and rotational symmetry sharpens visual reasoning that later supports geometry and design work.
Frequently Asked Questions
Q. What’s the difference between reflection symmetry and rotational symmetry?
Reflection symmetry is a mirror-image match across a line, while rotational symmetry is a repeat match after turning the shape around a central point.
See the Chapter 10 Solutions and Revision Notes for the full walkthrough.
