Question
Which of the following has/have only two lines of symmetry?
A. Equilateral triangle
B. Rectangle
C. Rhombus
D. Isosceles triangle
Choose the correct option.
The correct answer is
B and C
Identifying Shapes with Two Lines of Symmetry
A line of symmetry is a line that divides a shape into two identical halves, where each half is a mirror image of the other.
Shape Symmetry Analysis
- A. Equilateral triangle: Has 3 lines of symmetry. Each line passes through a vertex and the midpoint of the opposite side.
- B. Rectangle: Has 2 lines of symmetry. Each line connects the midpoints of opposite sides.
- C. Rhombus: Has 2 lines of symmetry. Each line connects opposite vertices (the diagonals).
- D. Isosceles triangle: Has 1 line of symmetry. This line passes through the vertex between the equal sides and the midpoint of the base.
Conclusion on Symmetry Lines
The shapes with exactly two lines of symmetry are the Rectangle (B) and the Rhombus (C).
Therefore, the correct option is the one that includes both B and C.
Referring to the options provided:
- Option 1: Only B - Incorrect.
- Option 2: B and C - Correct.
- Option 3: C and D - Incorrect (D has only 1 line).
- Option 4: A and B - Incorrect (A has 3 lines).
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Important Questions from Symmetry and Reflection
Number of lines of symmetry in a square is -
The curve given by xy = 15 is symmetrical about what?
- Which of the following letters does not have rotational symmetry?
- Nitu is always confused in identifying the transformations. Her mathematics teacher helped her by giving one simple word for each transformation namely : Reflection, Rotation, Translation and Enlargement.
Which of the following represents the correct sequence of meaning of each transformation as given above?
(1) Flip, Slide, Turn and Bigger Figure
(2) Turn, Slide, Flip and Bigger Figure
(3) Flip, Turn, Slide and Bigger Figure
(4) Slide, Flip, Turn and Bigger Figure - Which of the following letters has a rotational symmetry but no line symmetry?
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