Free Symmetry Subjective Test 01 Practice Test - 6th grade
Question 1
Define line of symmetry. [1 MARK]
SOLUTION
Solution :The line of symmetry is an imaginary line, when we fold the figure along the dotted line of symmetry, the figure is exactly divided into two identical halves.
Question 2
(a) State whether L is the line of symmetry or not assuming that the thickness of the pizza is negligible? [2 MARKS]
(b) How many lines of symmetry are possible for this figure?
SOLUTION
Solution :Each option: 1 Mark
(a) Yes, L is the line of symmetry as it divides the pizza into two identical parts.
(b) We can have only one line of symmetry for this figure.
Question 3
How many lines of symmetry are possible? [2 MARKS]
a. For a circle
b. For a scalene triangle
SOLUTION
Solution : Each option: 1 Mark
a. A circle can have infinite lines of symmetry.
b. Scalene triangles have no lines of symmetry.
Question 4
In how many ways can the given figure be divided into two equal parts? how? [3 MARKS]
SOLUTION
Solution :Reason: 1 Mark
Diagram: 1 Mark
Answer: 1 Mark
This figure can be divided into two equal parts in 4 ways. It has 4 lines of symmetry.
Question 5
How many lines of symmetry are possible for an equilateral triangle. Explain with a proper diagram? [3 MARKS]
SOLUTION
Solution :Diagram: 1 Mark
Answer: 1 Mark
Explanation: 1 Mark
For an equilateral triangle, we have 3 lines of symmetry. It can be divided into two equal parts in 3 ways.
Question 6
Draw a polygon with six lines of symmetry. What is it called? [3 MARKS]
SOLUTION
Solution :Diagram: 1 Mark
Labelling: 1 Mark
Naming: 1 Mark
A polygon having six lines of symmetry is a regular hexagon.
Question 7
A milkman wants to park his bike at some point Q and deliver the milk to two different houses A and B. Where should he park the bike so that his walking distance AQ + BQ will be minimum? [4 MARKS]
SOLUTION
Solution :Visualisation of question: 1 Mark
Steps: 1 Mark
Concept: 1 Mark
Answer/Diagram: 1 Mark
Here, we can use reflection symmetry in order to find the minimum distance. Let's take the mirror image of house A as A'. So, for minimum distance Q must lie in centre e.g. Q must be the line of symmetry for a mirror image of house A and house B and height of A' and A are equal. So, the milkman should park his bike at the centre point of the distance between houses A and B.
Question 8
(a) A piece of paper is folded as shown below. How many symmetrical figures are possible after unfolding figure no. 3? [2 MARKS]
(b) How many lines of symmetry are possible for this figure? [2 MARKS]
SOLUTION
Solution :a) 2 Marks
b) 2 Marks
(a) The piece of paper is folded 2 times. So, when we open that piece of paper, we get 4 symmetrical squares.
(b) For this figure, we can have 6 lines of symmetry.
Question 9
Complete the following diagrams by drawing the mirror images. [4 MARKS]
(i) (ii)
(iii)
(iv)
SOLUTION
Solution :Completed Figures: 1 Mark each
(i)
(ii)
![]()
(iii)
![]()
(iv)
Question 10
What letters of the English alphabet have reflection symmetry about:
a) A Vertical mirror
b) A Horizontal mirror [4 MARKS]
SOLUTION
Solution :Each Option: 2 Marks
a) Vertical mirror – A, H, I, M, O, T, U, V, W, X and Y
Horizontal mirror - B, C, D, E, H, I, O and X