Mastering The Basics: Classification And Properties Of Quadrilaterals In Mathematics

Quadrilateral

Any four-sided polygon

A quadrilateral is a 2-dimensional shape that has four sides and four angles. It can be defined as a closed, four-sided figure with straight sides and angles that add up to 360 degrees.

Classification of Quadrilaterals:
1. Trapezium: A quadrilateral with one pair of opposite sides parallel is called a trapezium.
2. Parallelogram: A quadrilateral with both pairs of opposite sides parallel is a parallelogram.
3. Rectangle: A rectangle is a parallelogram in which all four angles are right angles.
4. Rhombus: A rhombus is a parallelogram with all four sides equal in length.
5. Square: A square is a rectangle in which all four sides are equal.

Properties of Quadrilaterals:
1. The sum of angles in a quadrilateral is 360 degrees.
2. The opposite angles of a parallelogram are equal.
3. The opposite sides of a parallelogram are equal in length.
4. The diagonals of a parallelogram bisect each other.
5. The diagonals of a rectangle are equal in length and bisect each other.
6. A rhombus has all four sides equal in length.
7. The diagonals of a rhombus are perpendicular bisectors of each other.
8. A square has all sides equal in length and all angles right angles.
9. The diagonals of a square are equal and bisect each other at right angles.

Understanding the properties of each type of quadrilateral can be useful when solving problems involving angles and side lengths of the figure.

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