Worksheet: Symmetry and Nets

Question 1: Guess the words by looking at their mirror images:

Question 2: Complete the following figures such that the dotted lines p and q are the lines of symmetry of the total new figures:

Question 3: Here is a figure of an angle PQR and a mirror line l. Draw mirror image of ∠PQR. Do you find that the resulting image has the same measure?

Question 4: A cube is cut into two pieces by the plane through P,Q,R and S as shown in the figure. Sketch the section.

Question 5: How many planes of symmetry does this cuboid have?

Question 6: A cricket ball is cut by a plane passing through the centre. Draw the section.

Question 7: Draw the shape of the section given by slicing down through the middle of each of the following solids.

Question 8: How many planes of symmetry does this cube have?

Question 9: A notebook has an approximate plane of symmetry as shown in the figure. Name other objects that have a plane of symmetry.

Question 10: Which letters of English alphabet have a rotational symmetry?

Question 11: Separate the letters of the word MOTHERLAND which have:

• no symmetry
• linear symmetry

Question 12: What is the line of symmetry of a semicircle? Does it have a rotational symmetry?

Question 13: Name the quadrilaterals which have both linear and rotational symmetry of order more than 1.

Question 14: Draw a net of a cuboid whose dimensions are 3 cm × 2 cm × 2 cm.

Question 15: Using a square graph paper, draw a net for a cube with an edge 3.5 cm.

Question 16: The dimensions of the cuboid are: 3 cm × 2 cm × 1 cm.

• How many faces does this cuboid have?
• Draw a net for the above cuboid.

Question 17: Complete these letters from their halves:

Question 18: Find out which letters of English alphabet are symmetrical:

Question 19: Identify which of the following figures are symmetrical. In case of symmetrical figure, draw the line(s) of symmetry:

Question 20: A cylinder is cut by a plane as shown in the figure. Draw the section.