Symmetry quiz

The number of lines of symmetry of a square is:

An equilateral triangle has rotational symmetry of order:

The number of lines of symmetry of a circle is:

A rectangle that is not a square has how many lines of symmetry?

The angle of rotational symmetry of a square is:

Which letter has rotational symmetry of order 2 but no line of symmetry?

A scalene triangle has how many lines of symmetry?

A regular hexagon has how many lines of symmetry?

A parallelogram that is not a rectangle or rhombus has rotational symmetry of order:

An isosceles triangle that is not equilateral has how many lines of symmetry?

Name a quadrilateral with exactly two lines of symmetry along its diagonals. (2 marks)

Find the order of rotational symmetry of a figure whose angle of rotation is 120 degrees. (2 marks)

How many lines of symmetry does a regular pentagon have? Draw or describe them. (2 marks)

Name two letters of the English alphabet with a horizontal line of symmetry. (2 marks)

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

What is the order of rotational symmetry of the letter H? Does it also have line symmetry? (2 marks)

Name a triangle with both line symmetry and rotational symmetry of order more than 1. (2 marks)

Does a semicircle have line symmetry? How many lines? (2 marks)

Name two figures with only one line of symmetry. (2 marks)

A figure has rotational symmetry of order 5. Through what angle must it be turned to look the same? (2 marks)

Complete the table in sentences: for an equilateral triangle, square and regular hexagon, give the number of lines of symmetry, order of rotational symmetry and angle of rotation. (3 marks)

A ceiling fan with 3 blades is rotated. Find its order of rotational symmetry and the angles (less than 360 degrees) at which it looks the same. (3 marks)

A regular polygon has 9 lines of symmetry. (i) How many sides does it have? (ii) What is its order of rotational symmetry? (iii) What is its angle of rotation? (3 marks)

A design looks the same after every turn of 72 degrees. Find its order and list all angles of turn less than 360 degrees at which it looks the same. (3 marks)

How many lines of symmetry and what order of rotational symmetry do these have: (i) a regular octagon (ii) a rhombus (iii) the letter Z? (3 marks)

Read the passage and answer the questions. The Ashoka Chakra on the Indian national flag has 24 spokes, equally spaced. (i) Find its order of rotational symmetry. (ii) Find the smallest angle of rotation. (iii) How many lines of symmetry does it have? (5 marks)

Read the passage and answer the questions. A traffic sign for "No Entry" is a red circle with a white horizontal bar. (i) How many lines of symmetry does it have? (ii) What is its order of rotational symmetry? (iii) Draw or describe the lines of symmetry. (5 marks)

Read the passage and answer the questions. Ink-blot devils are made by putting a drop of ink on paper and folding it. (i) What type of symmetry is formed? (ii) Where is the line of symmetry? (iii) Can the shape have rotational symmetry of order 2? Explain. (5 marks)

Read the passage and answer the questions. A windmill has 4 identical blades arranged at equal angles. (i) What is its order of rotational symmetry? (ii) What is the angle of rotation? (iii) If one blade is painted red, what is the new order? (5 marks)

Read the passage and answer the questions. A flower has 5 identical petals arranged evenly around its centre. (i) What is the order of rotational symmetry? (ii) What is the angle of rotation? (iii) How many lines of symmetry does it have? (5 marks)

Draw a regular pentagon and a regular hexagon. Mark all their lines of symmetry and state the order and angle of rotational symmetry of each. (6 marks)

Draw any three letters that have both line and rotational symmetry, and two letters with only rotational symmetry. Mark the lines and centres. (6 marks)

Explain with diagrams the difference between line symmetry and rotational symmetry. Give two examples of each from daily life. (6 marks)

Draw a square and show its rotations through 90, 180, 270 and 360 degrees by marking one corner. Explain why the order is 4. (6 marks)

On squared paper, draw half of a shape on one side of a vertical dotted line and complete it so that the line is a line of symmetry. Then explain how to check the symmetry by folding and by measuring distances. (6 marks)