Symmetry Questions

Symmetry Questions are a set of questions based on the topic of symmetry. These questions help the student in understanding the topic better. It also improves the spatial sense of the student and improves the thinking ability which is due to the imagination needed to solve the problems. Before answering the questions, for detailed information, visit symmetry.

For Synopsis: Symmetry is a wide topic that is specific to shapes and their appearances. Symmetry is a geometrical topic, where a shape is observed to have an imaginary line called a line of axis. This line of axis divides the shape in such a way that both the left side and right side of the line of axis are a mirror images to each other. Let us consider a simple example of the letter M. Note that M is also a shape obtained by straight lines. Now M can be split in a way such that both halves look like the mirror image of one another.

Topics to refer before answering Symmetry Questions are

1. 1. Lines of Symmetry :

The above example has only one line of symmetry. There are shapes which can have multiple lines of symmetry. Ex. Circle can have an infinite number of symmetrical lines.

1. 1. Rotation Symmetry.

When a shape is moved or rotated, if the shape appears the same, then the shape has a rotational symmetry

ex.

1. 1. Reflection Symmetry

Symmetry which has a mirror reflection. Same as letter M.

Ex.

1. 1. Translational Symmetry

When an image is moved/displaced from its original position, but if the orientation remains the same.

Ex.

1. 1. Glide Symmetry

When an image undergoes both Translational and reflection symmetry then we call it as glide symmetry

Let us start solving the Symmetry Questions.

Symmetry Questions With Solutions

Here are a few Symmetry questions with the answers.

Question 1:

How many English alphabets are symmetrical?

Solution:

14 letters have lines of symmetry either horizontally or vertically.

They are A, B, C, D, E, H, I, K, M, O, T, V, W, X.

Question 2:

How many lines of symmetry does these geometrical shapes have?

1. Square
2. Pentagon
3. Rhombus
4. Trapezium

Solution:

1. Square : has 4 lines of symmetry
2. Pentagon: has 5 lines of symmetry
3. Rhombus: has 2 lines of symmetry
4. Trapezium: has 0 lines of symmetry

Question 3:

Which of the following shapes have rotational symmetry?

1. Square
2. Circle
3. Hexagon
4. Crescent

Solution:

1. A square has a rotational symmetry of order 4
2. Circle has a rotational symmetry at every angle of the circle
3. Hexagon has rotational symmetry of order 6
4. Crescent has rotational symmetry of order 2

Question 4:

Draw the lines of Symmetry for the following shapes.

Solution:

The Line of Symmetry for the given shapes are:

Question 5:

Show translation symmetry to the following images

1. Square
2. Octagon
3. Triangle

Solution:

1. Square has been translated from the 1st Quadrant to the 3rd Quadrant.
2. Hexagon Translated from the 2nd Quadrant to 3rd Quadrant
3. Triangle translated from 2nd Quadrant to 4th Quadrant.

Question 6:

How do reflection symmetry look for the following shapes?

1. Star
2. Moon
3. Sun

Solution:

The reflection for the Star, Moon and Sun appear the same as the original images

Question 7:

Draw a shape that does not have symmetry.

Solution:

Question 8:

Does the image have a symmetry along x- axis?

Solution:

The given image does not have symmetry along x- axis. However it is symmetrical diagonally.

Question 9:

How to make the given image symmetrical along the y-axis?

Solution:

Step 1: Remove the cell in the 1st row, 3rd column

Step 2: Add the 5th cell in the 1st column in the place of the 2nd column fourth row.

Question 10:

Colour the appropriate cells to make it symmetrical for the given image.

Solution:

There are multiple ways to make the given image symmetrical. 3 methods are given below.

Method 1:

Colour all cells with the same colour. (either grey or white) to make it symmetrical

Method 2:

Method 3:

Video Lesson on Symmetry

Related Articles:

• Line of Symmetry
• Reflection Symmetry
• Figures with Symmetry
• Reflection and Symmetry
• Rotational Symmetry

Practice Questions on Symmetry

1. Draw a geometrical figure with no Symmetry.
2. What is the rotational symmetry of a nonagon?
3. What are the lines of symmetry for the image?
4. Is this image symmetrical?
5. What is the reflection symmetry for the letter M.
6. How can you make this image symmetrical?