# 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