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The quadrilateral which has both line and rotational symmetry of order more than 2 is A. RectangleB. RhombusC. SquareD. Parallelogram

Aniket Singh , 1 Year ago
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Askiitians Tutor Team

Let's break down the given options in detail to find the quadrilateral that has both line and rotational symmetry of order more than 2.

1. Rectangle
A rectangle has 2 lines of symmetry (vertical and horizontal).
It has rotational symmetry of order 2. This means it can be rotated 180 degrees and still look the same.
So, a rectangle does not have rotational symmetry of order more than 2.
2. Rhombus
A rhombus has 2 lines of symmetry (the diagonals).
It has rotational symmetry of order 2, meaning it can be rotated 180 degrees and still look the same.
So, a rhombus does not have rotational symmetry of order more than 2.
3. Square
A square has 4 lines of symmetry (2 diagonals and 2 midlines).
It has rotational symmetry of order 4, meaning it can be rotated by 90°, 180°, 270°, or 360° and still look the same.
So, a square has both line and rotational symmetry of order more than 2.
4. Parallelogram
A parallelogram has no lines of symmetry (unless it's a special case like a rectangle or rhombus).
It has rotational symmetry of order 2, meaning it can be rotated 180 degrees and still look the same.
So, a parallelogram does not have rotational symmetry of order more than 2.
Conclusion:
The quadrilateral that has both line and rotational symmetry of order more than 2 is C. Square.

Last Activity: 1 Year ago
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