Properties of Trapezium
There are various properties of trapezium, some of which are as follows:
- Parallel Sides: A trapezium has two parallel sides, which are called bases. Example: Sides AB and CD are parallel to each other, shown in the figure.
- Non-Parallel Sides: Non-parallel sides of a trapezium are called the legs and the legs of a trapezium are not equal in length. Example: Sides AD and BC are non-parallel sides of the trapezium.
- Height or Altitude: Perpendicular distance between the bases is called the height or altitude of the trapezium. In the above diagram, h is the height of the trapezium.
- Sum of Angles
- Ajacent interior angles in a trapezium sum up to 180°. Example: There are two pairs of co-interior angles. One pair is ∠ A and ∠ D whereas the other pair is ∠ B and ∠ C. The sum of each pair of co-interior angles is 180°.
- Sum of all the interior angles in a trapezium is always 360°. Example: In the figure ∠A+∠D is 180° and ∠B+∠C is 180°. Therefore ∠A+∠D +∠B+∠C = 360°.
- Median: Median of a trapezium is the line segment that connects the midpoints of the legs. The median is parallel to the bases and its length is the average of the lengths of the bases.
- Trapezium has exactly one pair of opposite sides that are parallel.
Trapezium in Maths | Formulas, Properties & Examples
Trapezium in Maths: A Trapezium is a polygon with four sides, i.e. it is a quadrilateral. Trapezium originated from the Greek word “trapeze” which means table. It is a complex quadrilateral. A trapezium is a special quadrilateral with only one pair of parallel sides. A trapezium is a two-dimensional shape that appears as a table.
A trapezium has four sides and four vertices. We see the trapezium shape in our daily life and it is one of the most common shapes. In this article, we will learn about what is trapezium in maths, its properties, formulas, examples, and types of trapezium, along with some solved examples of it.
Table of Content
- What is a Trapezium in Maths?
- Types of Trapezium
- Irregular Trapezium
- Properties of Trapezium
- Trapezium Formula
- Area of Trapezium Formula
- Perimeter of Trapezium Formula
- Difference between Trapezium and Trapezoid
- Angles of Trapezium
- Diagonal of Trapezium
- Trapezium Examples
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