# Free Symmetry 01 Practice Test - 6th grade

If certain figures are equally balanced in proportion, then they are ___

#### SOLUTION

Solution :

If a figure is equally balanced in proportion then it said to be symmetrical.

A figure is said to have a line symmetry when

A.

we can fold the figure in half such that the right and left halves match exactly

B.

the two halves are mirror images of each other

C.

the two halves are not the mirror images of each other

D.

we can divide them into many parts

#### SOLUTION

Solution : A and B

A figure is said to have a line symmetry when we can fold a picture in half such that the right and left halves match exactly or the two halves are mirror images of each other.

Which of the following letter is symmetrical?

A.

Letter 'A'

B.

Letter 'F'

C.

Letter 'G'

D.

Letter 'L'

#### SOLUTION

Solution : A

The letter A is symmetric and it has one line of symmetry.

But letters 'F', 'G' and 'L' have no lines of symmetry.

While playing, Akriti has spread few colours randomly on one-half of a paper and then she pressed the other half against it so as to get its impression on it. The figure obtained would be ______.

A. symmetrical
B. asymmetrical
C. similar
D. none of these

#### SOLUTION

Solution : A

The obtained figure would be symmetric as the two halves would be mirror images of each other.

Which of the following figures have two lines of symmetry?

A.

Rectangle

B.

Square

C.

Equilateral triangle

D.

Regular pentagon

#### SOLUTION

Solution : A

Amongst the given figures,
A Rectangle has 2 lines of symmetry.

A Square has 4 lines of symmetry.

An Equilateral triangle has 3 lines of symmetry.

A Regular pentagon has 5 lines of symmetry.

What do we actually mean by a figure having two lines of symmetry?

A.

There exist only one line with respect to which the two halves are mirror images of each other.

B.

There exist two different lines in the figure with respect to which the respective halves are mirror images of each other.

C.

There does not exist any line from where the halves are mirror images of each other.

D.

There exist two different lines in the figure with respect to which the respective halves are not mirror images of each other.

#### SOLUTION

Solution : B

By two lines of symmetry we mean that two different lines in the figure can be drawn with respect to which the halves are mirror images of each other.

Eg. Rectangle, the alphabet 'X' etc.

Which of the following does not have more than two lines of symmetry?

A.

Square

B.

Equilateral triangle

C.

Star fish

D.

The letter B

#### SOLUTION

Solution : D

All the figures other than the alphabet B have more than two lines of symmetry.
A square has 4 lines of symmetry.
An equilateral triangle has 3 lines of symmetry.
A star fish has 5 lines of symmetry.
The alphabet B has only 1 line of symmetry.

How many lines of symmetry does the regular hexagon shown below have?

A.

Two

B.

Four

C.

Six

D.

Zero

#### SOLUTION

Solution : C

It is clear from the above figure that a regular hexagon has six lines of symmetry.

How many lines of symmetry does the following figure have?

A.

One

B.

Two

C.

Three

D.

Four

#### SOLUTION

Solution : A

A line of symmetry is an imaginary line that cuts a shape exactly in half.

The given figure has only one such line.

Thus, it has only one line of symmetry.

Find the number of lines of symmetry in the figure shown.

A.

One

B.

Two

C.

Three

D.

Four

#### SOLUTION

Solution : A

The above figure has only one line of symmetry.