No, a trapezium is not a parallelogram because it has only 1 pair of parallel sides. There are 4 interior angles in a trapezium which add up to 360° and the adjacent interior angles sum up to 180°. What do the Angles in a Trapezium add up to? They refer to a four-sided polygon having one pair of parallel sides and one pair of non-parallel sides. What is the Difference Between Trapezium and Trapezoid?Ī trapezium is also known as a trapezoid. What are the Properties of Isosceles Trapezium?Īn isosceles trapezium is one in which the legs, that is, the non-parallel sides are equal to each other. The formula which is used to find the area of a trapezium is expressed as, Area of trapezium = 1/2 × Sum of parallel sides × height. What is the Formula of Area of Trapezium?

The interior angles in a trapezium always sum up to 360°.

The sum of adjacent interior angles of a trapezium is 180°.

A trapezium has 2 diagonals that always intersect each other.

There is one pair of parallel sides in a trapezium and these sides are called bases.

A trapezium is a 2D shape and it comes under the category of quadrilaterals.

The characteristics of a trapezium are given below: A trapezium with a pair of right angles is known as a right trapezium. These parallel sides are referred to as the bases of the trapezium. Yes, a trapezium has one pair of parallel sides. The sum of all four interior angles of a trapezium is 360 degrees. It has four sides, four vertices, and four angles. This means if we know the length of the parallel sides and the height we can find the area of a trapezium. The area of a trapezium can be calculated using the formula, Area of trapezium = 1/2 × Sum of parallel sides × height. It looks like a triangle that is cut from the top. The parallel sides of a trapezium are known as 'bases' while the non-parallel sides are called the legs of the trapezium. In this figure, it can be written as, Perimeter of trapezium ABCD = AB + BC + CD + DA.Ĭheck these interesting articles related to the concept of trapezium shape in geometry.įAQs on Trapezium What is a Trapezium Shape?Ī trapezium is a two-dimensional quadrilateral that has one pair of parallel sides. Perimeter of trapezium = Sum of all 4 sides. This means the formula that is used to find the perimeter of a trapezium is expressed as follows.

The perimeter of a trapezium can be calculated by adding the length of all the 4 sides.

In this figure, it can be written as, Area of trapezium = 1/2 × (a + b) × h, where 'a' and 'b' are the parallel sides and 'h' is the height of the trapezium. Area of trapezium = 1/2 × Sum of parallel sides × height.

The formula that is used to find the area of a trapezium is expressed as follows.

Observe the trapezium ABCD given below to understand the trapezium formulas given after that.

Let us take the example of a trapezium diagram in which the parallel sides are named as 'a' and 'b' respectively and the height (altitude) is named as 'h'. The following diagram summarizes the various quadrilaterals described above.The formulas of a trapezium are mainly related to the area of a trapezium and the perimeter of a trapezium. KiteĪ kite is a quadrilateral with two pairs of congruent adjacent sides. TrapezoidĪ trapezoid is a quadrilateral with one pair of parallel opposite sides. The four angles of a square are right angles. SquareĪ square is quadrilateral with four congruent sides and four congruent angles. The opposite angles of a rhombus are congruent. The opposite sides of a rhombus are parallel. RhombusĪ rhombus is a quadrilateral with four congruent sides. The opposite sides of a rectangle are congruent and parallel. RectangleĪ rectangle is a quadrilateral with four right angles. The opposite angles and sides of a parallelogram are congruent. ParallelogramĪ parallelogram is a quadrilateral with two pairs of parallel sides. They are often categorized further based on their angles and sides. Quadrilaterals are widely studied in geometry. Since the sum of the interior angles of a triangle is 180°, the sum of the interior angles for the quadrilateral is 2×180° = 360°.

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A diagonal can be drawn from vertex A above dividing the quadrilateral into two triangles, △ABC and △ADC. Opposite angles do not share a common side. Four interior angles at each of the vertices: A, B, C, and D.Opposite sides do not share a common vertex. Quadrilateral ABCD, shown below, has the following properties: Home / geometry / shape / quadrilateral QuadrilateralĪ quadrilateral is a polygon that has four sides.

Quadrilateral shapes geometry equations