Symmetry quiz

The number of lines of symmetry of a square is:

A rectangle has:

Which figure has no line of symmetry?

The number of lines of symmetry of a circle is:

Which letter has a horizontal line of symmetry?

A regular hexagon has:

An isosceles triangle has:

Which letter has both horizontal and vertical lines of symmetry?

In a mirror, the image of an object is:

The number of lines of symmetry of a regular pentagon is:

Name two objects in your classroom that have line symmetry. (2 marks)

Draw the letter A and show its line of symmetry. (2 marks)

How many lines of symmetry does a rhombus have? Describe their position. (2 marks)

Why does a scalene triangle have no line of symmetry? (2 marks)

How do you make an ink-blot symmetric figure? (2 marks)

Name two letters that have no line of symmetry. (2 marks)

Does a parallelogram that is not a rectangle or rhombus have a line of symmetry? Explain. (2 marks)

Write two Indian monuments or structures that show symmetry. (2 marks)

If you stand 2 m in front of a plane mirror, how far is your image from you? (2 marks)

Which triangle has the most lines of symmetry and how many? (2 marks)

Find the total number of lines of symmetry of a square, a rectangle, an equilateral triangle and a regular hexagon taken together. (3 marks)

A regular polygon has 9 lines of symmetry. How many sides does it have? What is the name of a regular polygon with 8 lines of symmetry? How many lines of symmetry does a regular decagon (10 sides) have? (3 marks)

In the word "SYMMETRY", count the letters that have a vertical line of symmetry. In the word "HIDE", count the letters with a horizontal line of symmetry. (3 marks)

A design is made of 4 identical squares arranged to form a bigger square. How many lines of symmetry does the bigger square design have? If one small square is shaded, how many lines of symmetry remain? (3 marks)

Reena stands 3 m in front of a mirror and then moves 1 m closer. Find the distance between Reena and her image before and after she moves. (3 marks)

Read the passage and answer the questions. During Diwali, Priya drew a rangoli design on the floor. The design was a regular hexagon with identical petals at each corner and a circle in the middle. (i) How many lines of symmetry does the hexagon have? (ii) Does the circle in the middle change the number of lines of symmetry of the design? Explain. (iii) If she adds a petal at only one corner, how many lines of symmetry remain? (5 marks)

Read the passage and answer the questions. A butterfly was seen resting on a flower with its wings fully spread. Its left wing was an exact copy of its right wing. A leaf on the same plant also had matching halves on either side of its midrib. (i) What kind of symmetry does the butterfly show? (ii) Where is the line of symmetry of the butterfly? (iii) Which part of the leaf acts as its line of symmetry? (5 marks)

Read the passage and answer the questions. An ambulance has the word AMBULANCE written in reverse on its front. When drivers of cars ahead look in their rear-view mirrors, they read the word correctly. (i) What property of mirror images is used here? (ii) Which letters of the word AMBULANCE look the same in a mirror? (iii) Why is it written in reverse? (5 marks)

Read the passage and answer the questions. Rohan folded a square piece of paper along both its diagonals and both lines joining midpoints of opposite sides. He then cut a small triangle from the folded centre and opened the paper. (i) How many folds did he make? (ii) How many lines of symmetry does the opened paper have? (iii) Name the shape with the same number of lines of symmetry. (5 marks)

Read the passage and answer the questions. A traffic sign board shows a STOP sign, which is a regular octagon. Another sign showing "No Entry" is a circle with a horizontal bar across the centre. (i) How many lines of symmetry does the regular octagon have? (ii) How many lines of symmetry does the No Entry sign have? (iii) Which sign has more lines of symmetry? (5 marks)

Draw and show all lines of symmetry of: an equilateral triangle, a square, a regular pentagon and a regular hexagon. Make a list of the number of sides and lines of symmetry for each and state the pattern you observe. (6 marks)

Write all 26 capital letters of the English alphabet and classify them into: letters with only a vertical line of symmetry, letters with only a horizontal line of symmetry, letters with both, and letters with none. Draw lines of symmetry for any four letters. (6 marks)

On squared paper, draw a figure on one side of a mirror line and draw its reflection on the other side so that the mirror line is a line of symmetry. Explain why the image is the same distance from the mirror line as the object. (6 marks)

Draw a kite, an isosceles trapezium, a rhombus and a rectangle. Show their lines of symmetry and compare them. Explain why a rhombus and a rectangle both have two lines of symmetry but in different positions. (6 marks)

Explain how to make symmetric designs using paper folding and cutting. Draw a design obtained by folding a paper once, and another obtained by folding it twice. Mark the lines of symmetry and state how the number of folds is related to the number of lines of symmetry. (6 marks)