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Subjective Questions

Symmetry

Symmetry · Class 6 Mathematics

Practise 50 short and long answer questions on Symmetry from Symmetry. Try writing your own answer first, then tap the question to compare it with the model answer and read the explanation behind it.

Practise MCQs for this section All sections
1 For a square, state the number of lines of symmetry and explain what a line of symmetry does. 2 marks
Model answer

A square has 4 line(s) of symmetry. A line of symmetry divides a figure into two matching halves.

Explanation

A symmetry line is a fold line across which the two parts coincide.

2 For a rectangle, state the number of lines of symmetry and explain what a line of symmetry does. 2 marks
Model answer

A rectangle has 2 line(s) of symmetry. A line of symmetry divides a figure into two matching halves.

Explanation

A symmetry line is a fold line across which the two parts coincide.

3 For a equilateral triangle, state the number of lines of symmetry and explain what a line of symmetry does. 2 marks
Model answer

A equilateral triangle has 3 line(s) of symmetry. A line of symmetry divides a figure into two matching halves.

Explanation

A symmetry line is a fold line across which the two parts coincide.

4 For a circle, state the number of lines of symmetry and explain what a line of symmetry does. 2 marks
Model answer

A circle has infinitely many line(s) of symmetry. A line of symmetry divides a figure into two matching halves.

Explanation

A symmetry line is a fold line across which the two parts coincide.

5 For a regular hexagon, state the number of lines of symmetry and explain what a line of symmetry does. 2 marks
Model answer

A regular hexagon has 6 line(s) of symmetry. A line of symmetry divides a figure into two matching halves.

Explanation

A symmetry line is a fold line across which the two parts coincide.

6 For a isosceles triangle, state the number of lines of symmetry and explain what a line of symmetry does. 2 marks
Model answer

A isosceles triangle has 1 line(s) of symmetry. A line of symmetry divides a figure into two matching halves.

Explanation

A symmetry line is a fold line across which the two parts coincide.

7 For a scalene triangle, state the number of lines of symmetry and explain what a line of symmetry does. 2 marks
Model answer

A scalene triangle has 0 line(s) of symmetry. A line of symmetry divides a figure into two matching halves.

Explanation

A symmetry line is a fold line across which the two parts coincide.

8 For a parallelogram, state the number of lines of symmetry and explain what a line of symmetry does. 2 marks
Model answer

A parallelogram has 0 line(s) of symmetry. A line of symmetry divides a figure into two matching halves.

Explanation

A symmetry line is a fold line across which the two parts coincide.

9 For a rhombus, state the number of lines of symmetry and explain what a line of symmetry does. 2 marks
Model answer

A rhombus has 2 line(s) of symmetry. A line of symmetry divides a figure into two matching halves.

Explanation

A symmetry line is a fold line across which the two parts coincide.

10 For a regular pentagon, state the number of lines of symmetry and explain what a line of symmetry does. 2 marks
Model answer

A regular pentagon has 5 line(s) of symmetry. A line of symmetry divides a figure into two matching halves.

Explanation

A symmetry line is a fold line across which the two parts coincide.

11 A paper figure has 1 distinct fold lines that each make its two halves coincide. What does this tell you about its line symmetry? 2 marks
Model answer

The figure has 1 lines of symmetry.

Explanation

Each valid fold line must make the two sides coincide exactly.

12 A paper figure has 2 distinct fold lines that each make its two halves coincide. What does this tell you about its line symmetry? 2 marks
Model answer

The figure has 2 lines of symmetry.

Explanation

Each valid fold line must make the two sides coincide exactly.

13 A paper figure has 3 distinct fold lines that each make its two halves coincide. What does this tell you about its line symmetry? 2 marks
Model answer

The figure has 3 lines of symmetry.

Explanation

Each valid fold line must make the two sides coincide exactly.

14 A paper figure has 4 distinct fold lines that each make its two halves coincide. What does this tell you about its line symmetry? 2 marks
Model answer

The figure has 4 lines of symmetry.

Explanation

Each valid fold line must make the two sides coincide exactly.

15 A paper figure has 5 distinct fold lines that each make its two halves coincide. What does this tell you about its line symmetry? 2 marks
Model answer

The figure has 5 lines of symmetry.

Explanation

Each valid fold line must make the two sides coincide exactly.

16 A paper figure has 6 distinct fold lines that each make its two halves coincide. What does this tell you about its line symmetry? 2 marks
Model answer

The figure has 6 lines of symmetry.

Explanation

Each valid fold line must make the two sides coincide exactly.

17 A paper figure has 7 distinct fold lines that each make its two halves coincide. What does this tell you about its line symmetry? 2 marks
Model answer

The figure has 7 lines of symmetry.

Explanation

Each valid fold line must make the two sides coincide exactly.

18 A paper figure has 8 distinct fold lines that each make its two halves coincide. What does this tell you about its line symmetry? 2 marks
Model answer

The figure has 8 lines of symmetry.

Explanation

Each valid fold line must make the two sides coincide exactly.

19 A paper figure has 9 distinct fold lines that each make its two halves coincide. What does this tell you about its line symmetry? 2 marks
Model answer

The figure has 9 lines of symmetry.

Explanation

Each valid fold line must make the two sides coincide exactly.

20 A paper figure has 10 distinct fold lines that each make its two halves coincide. What does this tell you about its line symmetry? 2 marks
Model answer

The figure has 10 lines of symmetry.

Explanation

Each valid fold line must make the two sides coincide exactly.

21 A student tests a rectangle by folding it along 1 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

22 A student tests a equilateral triangle by folding it along 2 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

23 A student tests a circle by folding it along 3 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

24 A student tests a regular hexagon by folding it along 4 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

25 A student tests a isosceles triangle by folding it along 5 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

26 A student tests a scalene triangle by folding it along 6 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

27 A student tests a parallelogram by folding it along 7 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

28 A student tests a rhombus by folding it along 8 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

29 A student tests a regular pentagon by folding it along 9 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

30 A student tests a square by folding it along 10 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

31 A student tests a rectangle by folding it along 11 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

32 A student tests a equilateral triangle by folding it along 12 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

33 A student tests a circle by folding it along 13 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

34 A student tests a regular hexagon by folding it along 14 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

35 A student tests a isosceles triangle by folding it along 15 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

36 A student tests a scalene triangle by folding it along 16 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

37 A student tests a parallelogram by folding it along 17 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

38 A student tests a rhombus by folding it along 18 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

39 A student tests a regular pentagon by folding it along 19 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

40 A student tests a square by folding it along 20 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

41 A student tests a rectangle by folding it along 21 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

42 A student tests a equilateral triangle by folding it along 22 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

43 A student tests a circle by folding it along 23 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

44 A student tests a regular hexagon by folding it along 24 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

45 A student tests a isosceles triangle by folding it along 25 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

46 A student tests a scalene triangle by folding it along 26 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

47 A student tests a parallelogram by folding it along 27 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

48 A student tests a rhombus by folding it along 28 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

49 A student tests a regular pentagon by folding it along 29 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

50 A student tests a square by folding it along 30 candidate line(s). Explain the test needed to decide which of these are genuine lines of symmetry. 3 marks
Model answer

Each candidate line is a line of symmetry only if the two parts coincide exactly when folded along it.

Explanation

Visual similarity alone is not enough; the fold must make the two halves match.

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