Class 4 Maths - Symmetry - CBSE Worksheets

Multiple Choice Questions

Q1: What is symmetry in geometry?
(a) The balance and proportionate similarity found in two halves of an object
(b) The reflection of light on a surface
(c) The measurement of angles in a shape
(d) The process of drawing shapes with a ruler
Ans: (a)
Symmetry in geometry refers to the balanced and proportionate similarity found in two halves of an object. It means that one-half of the object is the mirror image of the other half. This concept is fundamental in understanding the properties and relationships of shapes.

Q2: Which of the following statements is true about symmetry?
(a) Symmetry exists only in regular shapes
(b) Symmetry exists only in irregular shapes
(c) Symmetry can exist in both regular and irregular shapes
(d) Symmetry cannot exist in any shape
Ans: (c)
Symmetry can be found in both regular and irregular shapes. Regular shapes have all sides and angles equal, while irregular shapes have varying side lengths and angles. The symmetries for regular and irregular shapes may be different, but both types of shapes can exhibit symmetry.

Q3: What is the line along which a figure can be folded to obtain symmetrical halves called?
(a) Axis of symmetry
(b) Line of reflection
(c) Line of rotation
(d) Line of translation
Ans: (a)
The line along which a figure can be folded to obtain symmetrical halves is called the axis of symmetry. It is an imaginary line that divides the figure into two mirror-image halves. The concept of the axis of symmetry is essential in identifying and analyzing symmetrical properties of shapes.

Q4: Which type of symmetry is described when an image looks identical to the original image after being turned or flipped?
(a) Translation symmetry
(b) Rotational symmetry
(c) Reflection symmetry
(d) Glide symmetry
Ans: (c)
Reflection symmetry, also known as mirror symmetry or line symmetry, is described when an image looks identical to the original image after being turned or flipped. It means that one half of the object reflects the other half, like looking at the object in a mirror.

Q5: How many lines of symmetry does a square have?
(a) One
(b) Two
(c) Three
(d) Four
Ans: (d)
A square has four lines of symmetry. Each line of symmetry can be drawn through the midpoint of opposite sides of the square, dividing it into two equal halves. The lines of symmetry for a square can be vertical, horizontal, or diagonal.

Short Questions

Q1: Define symmetry in your own words.
Ans: Symmetry is a balanced and proportionate similarity found in two halves of an object. It means that one-half of the object is the mirror image of the other half. Symmetry brings a sense of harmony and aesthetic appeal to shapes and objects.

Q2: Give an example of a symmetrical figure.
Ans: Example answer: A butterfly is a symmetrical figure. When you fold a butterfly in half along its central axis, both halves perfectly match each other.

Q3: What is the line of symmetry for the letter "H"?
Ans: The line of symmetry for the letter "H" is a vertical line passing through its center. If you fold the letter "H" along this line, both halves will overlap perfectly.

Q4: Name one shape that has rotational symmetry.
Ans: Example answer: A circle has rotational symmetry. It can be rotated by any angle around its center, and it will still appear the same. In other words, it has an infinite number of lines of symmetry.

Q5: Explain the concept of reflection symmetry.
Ans: Reflection symmetry, also known as mirror symmetry or line symmetry, is a type of symmetry where one half of an object reflects the other half. It is like looking at the object in a mirror. When an object has reflection symmetry, it means that it can be folded along the line of symmetry, and both halves will match exactly.

Fill in the Blanks

1. Symmetry is defined as a balanced and proportionate similarity found in ___________ halves of an object.
Ans: two

2. The imaginary line along which you can fold a figure to obtain symmetrical halves is called the _________ of symmetry.
Ans: line

3. In Mathematics, symmetry is a mirror image when a shape is moved, rotated, or _________.
Ans: flipped

4. A shape that is not symmetrical is referred to as ____________.
Ans: asymmetrical

5. Symmetrical shapes have a line of symmetry where the images on both sides __________ each other.
Ans: mirror

Match the Column

Match the figures with the number of lines of symmetry they possess.

Ans:

True or False

1. Symmetry can only be found in regular shapes. (True/False)
Ans: False

2. Translation symmetry refers to the sliding of an object about an axis. (True/False)
Ans: True

3. Rotational symmetry can only be found in geometric shapes. (True/False)
Ans: False

4. Reflection symmetry is also known as line of symmetry. (True/False)
Ans: True

5. Glide symmetry is a combination of translation and reflection transformations. (True/False)
Ans: True