Quadrilateral
A quadrilateral is a polygon with four sides and four vertices
A quadrilateral is a polygon with four sides and four vertices. In other words, it is a shape that is enclosed by four straight line segments connected end-to-end. The sum of the interior angles of a quadrilateral always adds up to 360 degrees.
There are different types of quadrilaterals, each with its own unique properties:
1. Square: A square is a quadrilateral with four equal sides and four right angles. The opposite sides of a square are parallel and the diagonals are equal in length and bisect each other perpendicularly.
2. Rectangle: A rectangle is a quadrilateral with four right angles. Opposite sides of a rectangle are parallel and equal in length. The diagonals of a rectangle are equal in length and bisect each other.
3. Parallelogram: A parallelogram is a quadrilateral in which opposite sides are parallel. The opposite angles in a parallelogram are equal and the diagonals bisect each other.
4. Rhombus: A rhombus is a quadrilateral with four equal sides. The opposite angles in a rhombus are equal, and the diagonals bisect each other at right angles.
5. Trapezoid: A trapezoid is a quadrilateral with exactly one pair of parallel sides. The non-parallel sides can have different lengths, and the angles at the base opposite to each other are equal.
6. Kite: A kite is a quadrilateral with two pairs of adjacent sides that are equal in length. The diagonals of a kite are perpendicular to each other, and one of the diagonals bisects the other.
These are the common types of quadrilaterals, and they each have specific properties based on their side lengths and angles. Understanding these properties can help solve various problems involving quadrilaterals.
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