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.