# Free Symmetry 02 Practice Test - 6th grade

Meenakshi is interested in arts and one day while painting on a paper she discovered that the paper upon folding across a line overlapped exactly with the other part. This line could be termed as

A.

Line of separation

B.

Line of symmetry

C.

Line of division

D.

All of these

#### SOLUTION

Solution : B

When we are able to fold a picture in a half such that the left and right halves match exactly then we say that the picture has a line of symmetry.

The following figure is:- A.

Asymmetrical

B.

Symmetrical

C.

Congruent

D.

Unsymmetrical

#### SOLUTION

Solution : A

Asymmetrical figures are those which do not have a line of symmetry and hence are not symmetrical.  As in the above figure, there is no line of symmetry, the given figure is asymmetrical.

A boy was cutting paper with scissors; he suddenly looked at scissors and thought that it might have symmetry. Which of the following options correctly shows the line of symmetry?

A. B. C. D.

Scissors do not have any symmetry.

#### SOLUTION

Solution : A

Line of symmetry is a line with respect to which the two halves are mirror images of each other. We see that in the correct option, the line acts as a line of symmetry as the halves are mirror images of each other with respect to that line.

Which of the following letters does not have a line of symmetry?

A.

K

B.

S

C.

M

D.

H

#### SOLUTION

Solution : B

The letter 'S' does not have a line of symmetry as none of the lines divide it into two halves which are mirror images of each other.

Which of the following alphabets has two lines of symmetry?

A.

U

B.

X

C.

B

D.

A

#### SOLUTION

Solution : B

The alphabet 'X' has two lines of symmetry. and 'A' 'B' and 'U' has only one line of symmetry as shown below. Which of the following have two lines of symmetry?

A.

Letter 'T'

B.

Cricket bat

C.

Letter 'V'

D.

Letter 'O'

#### SOLUTION

Solution : D

The letter 'V' has only one line of symmetry. Cricket bat has only one line of symmetry. Letter 'T' also has one line of symmetry. Letter 'O' also has two lines of symmetry. Which of the following figures have more than two lines of symmetry?

A.

Circle

B.

Isosceles trapezium

C.

Isosceles triangle

D. Parallelogram

#### SOLUTION

Solution : A A circle has more than two lines of symmetry. An isosceles trapezium has only one line of symmetry. An isosceles triangle has only one line of symmetry.

A parallelogram has only one lines of symmetry. How many lines of symmetry does the regular octagon shown below has? A.

Two

B.

Four

C.

Six

D.

Eight

#### SOLUTION

Solution : D

Regular octagon has eight lines of symmetry as shown below. Which of the following alphabets look the same on reflection in a vertical mirror?

A.

P

B.

R

C.

B

D.

T

#### SOLUTION

Solution : D

Except 'T' all the other options would look different after reflection. For example: But 'T' will look the same on reflection in a vertical mirror as shown below. If a line segment of length 10 cm is reflected in a line of symmetry (mirror),  then the reflection is a line of length ____.

A.

5 cm

B.

10 cm

C.

15 cm

D.

20 cm

#### SOLUTION

Solution : B

The image formed in a plane mirror is of the same length of the object. So, the image of the line would remain a line and there would be no change in its length.

refelction is a line of length 10cm.