Class 7 Mathematics

Chapter 14: Symmetry

NCERT Textbook Questions & Answers

Question 1

How many lines of symmetry does a square have?

Answer:

A square has:

• 4 equal sides
• 4 equal angles

It can be divided into two equal mirror halves in 4 different ways.

✅ Final Answer: A square has 4 lines of symmetry.

Question 2

How many lines of symmetry does a rectangle have?

Answer:

A rectangle has:

• Opposite sides equal
• All angles equal

It can be divided into two equal halves:

• Vertically
• Horizontally

✅ Final Answer: A rectangle has 2 lines of symmetry.

Question 3

Does a circle have a line of symmetry? If yes, how many?

Answer:

A circle looks the same when folded along any diameter.

Since a circle has infinitely many diameters, it has infinitely many lines of symmetry.

✅ Final Answer: Yes, a circle has infinitely many lines of symmetry.

Question 4

Does a scalene triangle have a line of symmetry?

Answer:

A scalene triangle has:

• All sides different
• All angles different

So, it cannot be divided into two equal mirror halves.

✅ Final Answer: No, a scalene triangle has no line of symmetry.

Question 5

Name any three letters of the English alphabet that have:
(a) Vertical line of symmetry
(b) Horizontal line of symmetry

Answer:

(a) Letters with vertical line of symmetry:

A, M, T

(b) Letters with horizontal line of symmetry:

B, C, D

✅ Final Answer:
(a) A, M, T
(b) B, C, D

Question 6

What is rotational symmetry?

Answer:

A figure has rotational symmetry if it looks the same after rotation about a fixed point.

Example:

• Square → looks same after rotation
• Fan → shows rotational symmetry

✅ Final Answer: Rotational symmetry means a figure looks the same after rotation.

Question 7

What is the order of rotational symmetry of a square?

Answer:

A square looks the same after rotation of:

• 90°
• 180°
• 270°
• 360°

So, it matches itself 4 times in one full rotation.

✅ Final Answer: The order of rotational symmetry of a square is 4.

---

Shaktimatha CBSE Learning
Class 7 Mathematics – Chapter 14
NCERT Textbook Questions & Answers

⬅️ Back to Class 7 Maths Library