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Vidaara.orgClass 8 · Mathematics
CodeVID-M08-14-SYM-01
Line & Rotational Symmetry - Assignment
Chapter: Transformations
Topic: Line Symmetry & Rotational Symmetry
Maximum Marks: 35
Time: 75 minutes
Name: ____________________ Roll No.: __________ Date: ____________

General Instructions

  • All questions are compulsory.
  • Section A carries 1 mark each, Section B 2 marks, Section C 3 marks and Section D 5 marks.
  • Show all working for Sections B, C and D. Only final answers are given at the end — for full solutions, raise your doubts with your teacher.
Section A — Multiple Choice Questions 5 × 1 = 5 marks
1.
Line symmetry means folded halves:
  • A.differ
  • B.match exactly
  • C.overlap partly
  • D.vanish
2.
A square has how many lines of symmetry?
  • A.$2$
  • B.$3$
  • C.$4$
  • D.$1$
3.
The order of rotational symmetry of a square is:
  • A.$1$
  • B.$2$
  • C.$3$
  • D.$4$
4.
An equilateral triangle has ___ lines of symmetry.
  • A.$1$
  • B.$2$
  • C.$3$
  • D.$4$
5.
A rectangle has how many lines of symmetry?
  • A.$1$
  • B.$2$
  • C.$3$
  • D.$4$
Section B — Short Answer (2 marks) 4 × 2 = 8 marks
6.
How many lines of symmetry does a rectangle have?
7.
How many lines of symmetry does a square have?
8.
How many lines of symmetry does an equilateral triangle have?
9.
What is the order of rotational symmetry of a square?
Section C — Short Answer (3 marks) 4 × 3 = 12 marks
10.
How many lines of symmetry does a circle have?
11.
What is the order of rotational symmetry of an equilateral triangle?
12.
How many lines of symmetry does a regular pentagon have?
13.
Does the letter H have line symmetry?
Section D — Long Answer (5 marks) 2 × 5 = 10 marks
14.
State the number of lines of symmetry and the order of rotational symmetry for a square, an equilateral triangle and a regular hexagon.
15.
Give two capital letters with both horizontal and vertical line symmetry, and two with rotational symmetry of order $2$.

Answer Key

Section A — Multiple Choice Questions
  1. (B) match exactly
  2. (C) $4$
  3. (D) $4$
  4. (C) $3$
  5. (B) $2$
Section B — Short Answer (2 marks)
  1. $2$.
  2. $4$.
  3. $3$.
  4. $4$.
Section C — Short Answer (3 marks)
  1. Infinitely many.
  2. $3$.
  3. $5$.
  4. Yes (two lines).
Section D — Long Answer (5 marks)
  1. Square: $4$ lines, order $4$; triangle: $3$ lines, order $3$; hexagon: $6$ lines, order $6$.
  2. Both lines: H, X; order-$2$ rotation: S, Z.
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