Moderate Level Worksheet
Very Short Answer Questions (1 Mark Each)
(1) How many lines of symmetry does an equilateral triangle have?
Correct! Each line passes through a vertex and the midpoint of the opposite side.
(2) Which letter has both vertical and horizontal symmetry: O or M?
Perfect! Letter O has both vertical and horizontal lines of symmetry, while M has only vertical.
(3) State whether the figure of a kite has one or two lines of symmetry.
Excellent! A kite has only one line of symmetry along its longer diagonal.
(4) Name two objects in your classroom that show symmetry.
Object 1:
Object 2:
(5) Which English letter has no line of symmetry?
Great! Other examples include G, J, K, L, N, P, Q, R, S, Z.
Short Answer Questions (2 Marks Each)
Answer each question clearly with diagrams where needed and submit your sheet to the subject teacher.
(1) Draw a rhombus and show its lines of symmetry.
Number of lines:
Both diagonals of a rhombus are lines of symmetry.
(2) How many lines of symmetry does a regular hexagon have? Justify your answer.
Number of lines:
(3) Identify the number of lines of symmetry in the letters: E, K, X.
Letter E:
Letter K:
Letter X:
(4) A mirror is placed along a line of symmetry of a square. Draw and show how reflection works.
When mirror is placed along symmetry line, each point reflects to create
(5) Write two examples of symmetry from nature and explain.
Example 1:
Example 2:
Long Answer Questions (4 Marks Each)
Note: Draw clear diagrams and show all lines of symmetry accurately. Submit the sheet to the subject teacher.
(1) Draw an isosceles triangle and show its line of symmetry. Then compare it with a scalene triangle.
(2) Draw a rectangle and a parallelogram. Show lines of symmetry in each.
Comparison: Rectangle:
Parallelogram:
(3) A circle has infinite lines of symmetry. Draw a circle and mark at least 4 of its lines of symmetry.
(4) Draw the English letters A, H, T, and show their lines of symmetry.
Letter A:
Letter H:
Letter T:
(5) In daily life, objects like a ceiling fan and a butterfly show symmetry. Explain what type of symmetry each one has.
Ceiling fan:
Butterfly:
Part B: Objective Questions (1 Mark Each)
Choose the correct answer and write the option (a/b/c/d)
(1) A rhombus has:
(a) 1 line of symmetry (b) 2 lines of symmetry (c) 3 lines of symmetry (d) 4 lines of symmetry
Correct! A rhombus has 2 lines of symmetry along its diagonals.
(2) A regular hexagon has:
(a) 3 lines of symmetry (b) 6 lines of symmetry (c) 2 lines of symmetry (d) 4 lines of symmetry
Correct! A regular hexagon has 6 lines of symmetry.
(3) The letter "X" has:
(a) No line of symmetry (b) 1 line of symmetry (c) 2 lines of symmetry (d) 4 lines of symmetry
Correct! Letter X has 2 lines of symmetry - vertical and horizontal.
(4) Which shape has exactly one line of symmetry?
(a) Isosceles triangle (b) Scalene triangle (c) Square (d) Circle
Correct! An isosceles triangle has exactly 1 line of symmetry.
(5) A butterfly shows:
(a) Vertical symmetry (b) Horizontal symmetry (c) Radial symmetry (d) No symmetry
Correct! A butterfly shows bilateral (vertical) symmetry.
(6) A regular pentagon has:
(a) 4 lines of symmetry (b) 5 lines of symmetry (c) 6 lines of symmetry (d) 2 lines of symmetry
Correct! A regular pentagon has 5 lines of symmetry.
(7) The mirror image of the letter "P" along its vertical axis is:
(a) P (b) q (c) ρ (reversed P) (d) None
Correct! The mirror image of P along its vertical axis is reversed P (ρ).
(8) Which of these is symmetric about both diagonals?
(a) Rectangle (b) Square (c) Parallelogram (d) Kite
Correct! A square is symmetric about both its diagonals.
(9) A figure has no line of symmetry. It must be:
(a) Circle (b) Scalene triangle (c) Equilateral triangle (d) Rhombus
Correct! A scalene triangle has no lines of symmetry due to unequal sides.
(10) Which of the following has infinite lines of symmetry?
(a) Square (b) Regular hexagon (c) Circle (d) Rectangle
Correct! A circle has infinite lines of symmetry through its center.
Moderate Symmetry Challenge
Determine whether these statements are True or False: