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The area of the trapezium is half of the area of the parallelogram. The formula is½(𝒂 + 𝒃)𝒉. When the trapezium has two right angles, the two congruent trapeziums make a rectangle.
- Overview
- Trapezium Definition
- Types of Trapeziums
- Properties of Trapeziums
- Area & Perimeter Calculation
This article is about the properties and types of trapeziums in Euclidean geometry. It explains the definition, shape, area, perimeter calculation and examples of a trapezium along with its properties like being a 2D shape, having parallel sides as bases, equal length diagonals that intersect each other etc.
A trapezium is a two-dimensional quadrilateral having a pair of parallel opposite sides. The word originated from the Greek word "trapeza" which means table.
There are three types of trapezium, Isosceles, Scalene and Right trapezium. They are classified on the basis of length or measurement of angles.
A 2D shape with parallel bases, equal diagonals that intersect each other, adjacent interior angles sum up to 180° and all interior angles sum up to 360°.
The area is given by ( (a+b)/2) × h where a and b are lengths of parallel sides and h is height while perimeter = AB + BC + CD + AD units .
A trapezoid is a 4-sided flat shape with straight sides that has a pair of opposite sides parallel (marked with arrows below): A trapezoid: Play with a trapezoid: The parallel sides are the "bases". The other two sides are the "legs".
A major application of trapezium is the trapezium rule, where the area under the curve is divided into a number of trapeziums and then the area of each trapezium is evaluated. Let us learn all the properties of trapezium along with area and perimeter formula, its types and examples.
- According to the definition of trapezium, it is a quadrilateral with one pair of parallel sides. Thus, a trapezium does have parallel sides.
- No, the diagonals of a trapezium may not be equal. For a trapezium, only 1 pair of its sides are parallel. But, for any quadrilateral to have equal...
- No, the diagonals of a trapezium might not bisect each other. If the diagonals are bisecting, the trapezium will be a parallelogram. So, every para...
- No, to be a trapezium or a trapezoid, a quadrilateral should have exactly one pair of parallel sides and the other two sides are non-parallel.
A trapezoid is usually considered to be a convex quadrilateral in Euclidean geometry, but there are also crossed cases. If ABCD is a convex trapezoid, then ABDC is a crossed trapezoid. The metric formulas in this article apply in convex trapezoids. Etymology and trapezium versus trapezoid. Hutton's definitions in 1795 [4]
Remove from My Bitesize. In this guide. Revise. Test. Area of trapeziums. The area of a. trapezium. can be calculated using the formula: \ (\text {area of a trapezium} = \frac {1} {2} (a + b)...
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Aug 3, 2023 · Trapezoid. Definition. A trapezoid is a flat geometric shape with four straight sides having at least one pair of opposite parallel sides. It looks like a triangle whose top portion is sliced off. The parallel sides are the bases, and the other two sides are called the legs or the lateral sides.
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