What type(s) of quadrilateral has only rotational symmetry?
To determine which types of quadrilaterals have only rotational symmetry, we need to understand what rotational symmetry is.
Rotational symmetry refers to the property of an object where it looks the same after being rotated by a certain angle around a fixed point called the center of rotation.
In the case of quadrilaterals, there are several types that have rotational symmetry:
1. Square: A square is a type of quadrilateral with four equal sides and four right angles. It has rotational symmetry of order 4, which means it looks the same after being rotated by 90 degrees, 180 degrees, or 270 degrees.
2. Rectangle: A rectangle is a quadrilateral with opposite sides that are parallel and four right angles. It has rotational symmetry of order 2, which means it looks the same after being rotated by 180 degrees.
3. Rhombus: A rhombus is a quadrilateral with four equal sides. It has rotational symmetry of order 2, similar to a rectangle, because it looks the same after being rotated by 180 degrees.
4. Kite: A kite is a quadrilateral with two pairs of adjacent sides that are equal. It has rotational symmetry of order 2, just like a rectangle and a rhombus.
Therefore, the square, rectangle, rhombus, and kite are the types of quadrilaterals that have only rotational symmetry.