Question

Which one of the following options has the correct sequence of objects arranged in the increasing number of mirror lines (lines of symmetry)?

• A. Circle; Square; Equilateral triangle; Isosceles triangle
• B. Isosceles triangle; Equilateral triangle; Square; Circle
• C. Equilateral triangle; Isosceles triangle; Square; Circle
• D. Isosceles triangle; Square; Equilateral triangle; Circle

Hint:

When dealing with symmetry, always recall: equilateral shapes maximize symmetry, while irregular shapes have minimal symmetry. Circles are the only 2D shapes with infinite lines of symmetry.

Answer 1

The Correct Option is B

Step 1: Recall symmetry properties.

• Isosceles triangle has exactly \(1\) line of symmetry.
• Equilateral triangle has \(3\) lines of symmetry.
• Square has \(4\) lines of symmetry (two diagonals + two medians).
• Circle has infinitely many lines of symmetry (any diameter).

Step 2: Arrange in increasing order.

\(1\) (Isosceles triangle) < \(3\) (Equilateral triangle) < \(4\) (Square) < \(\infty\) (Circle)

Final Answer:

Isosceles triangle; Equilateral triangle; Square; Circle