How Will You Identify a Trapezoid? – Properties of Trapezoid

Trapezoids have a structure of quadrilaterals. It inherits a shape that is similar to a four-sided polygon. How will you spot a trapezoid? The structure can be identified by the properties of the trapezoid. In brief, it can be said that a single set of the opposite sides goes parallelly and there is another set of non-parallel sides. So, in this structure of trapezoid, the parallel sides are called the bases, while the non-parallel sides are called the legs of the structure. Now we will know about the properties of trapezoid in detail. 

What Are the Features or The Properties of Trapezoids? 

As already mentioned, Trapezoid is a type of quadrilateral, but it of course has its definite shape and structure. In this section, we are going to discuss the properties of the Trapezoid, which makes it unique among other shapes.  

  • In a Trapezoid, the bases which are the top and bottom run parallelly.
  • The sides which are opposite of the Trapezoid are of equal length. 
  • The angles which lie on the same line or the angles which together form a sum of 180 degrees. 
  •  The Trapezoid’s median lies parallelly to both bases. 
  • The median is the sum of the average of both the bases is p+q/2 (considering p and q are the bases of medians)
  • Another feature is that it is also considered as a parallelogram if both the pairs of the opposite sides are parallel to each other in a Trapezoid. 
  • While if both the sides are parallel and the sides also measure equal length then the sides are placed at right angles to each other – this time the trapezoid is considered as a square.  
  • How does it make a rectangle? If two sides of a trapezoid are parallel to each other and they measure the equal length and stand at 90 degrees then the trapezoid forms like a rectangle. 

How Many Types of Trapezoids are There? 

Distinctively, there are three different types of Trapezoids, namely:

  • Isosceles Trapezoid
  • Scalene Trapezoid
  • Right Trapezoid

How Will You Calculate The Measurement Of A Trapezoid? – The Formula Of Trapezoid

Students in the examination are often asked to find out the measurement of a Trapezoid, in this case, they need to know that there are two formulae based on the Area of a Trapezoid and the Perimeter of a Trapezoid. Now, we will study the formula of the Perimeter of the Trapezoid. 

Formula – Perimeter of Trapezoid

The Perimeter of a structure can be defined as the sum of the length of all its sides. So, the perimeter of the Trapezoid is the length of the boundaries that encompass the Trapezoid. The Trapezoid is typically a 2D figure, this makes the structure located on a 2D platform as well. 

Suppose, the sides of the Trapezoid a named P, Q, R, and S. Now the perimeter of the Trapezoid can be measured as – PQ + QR + RS + SP

Thus, the perimeter of a trapezoid is the sum total of all the sides. 

Formula to Calculate the Area of a Trapezoid

How would you measure the area of trapezoid? In order to measure the area of a trapezoid, first, you need to take out the average of the parallel sides of the trapezoid and after that, you need to multiply the average measurement with the measure of its height.  

Suppose, the base of the sides are p and q and the height is h, thus the average of the p and q is then multiplied by the perpendicular height h. 

Thus, we see in order to calculate the area and perimeter of a trapezoid we need to calculate by using two different formulae. These two formulae are used universally. 

As we come to the end of the discussion, we must say that trapezoid is a fun figure which takes the shape of a parallelogram, square, and even as a rectangle! To know more similar fun figures, visit Cuemath and experience a dun learning of your favorite subject Maths. 


Kamran

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