The term parallelogram had its origin from the Greek word parallelogrammon that means it is bounded by parallel lines. It would be fair to say that parallelogram is a quadrilateral that is bounded by parallel lines. What it means is that the opposite sides are equal and parallel. Their classification would take place in three forms, rectangular, rhombus and square. Every one of them would be having their own properties. Casting our mind to what is the definition of a parallelogram would be of immense help.
The definition of a parallelogram
Coming to parallelogram it would be a special form of a quadrilateral which is developed by parallel lines. The angles that are at the adjacent sides of a parallelogram could vary on the opposite sides, but they have to be parallel for it to be termed as a parallelogram. A quadrilateral can be considered to be a parallelogram if its opposite sides are concurrent and parallel. So simply a parallelogram is a quadrilateral where both the opposite sides are parallel and equal.
The properties of a parallelogram
To be considered as a parallelogram there are some properties
- The opposite sides of a parallelogram need to be parallel
- Even the opposite sides of a parallelogram need to be equal
- The opposite angles of a parallelogram are also equal
- The diagonals of a parallelogram bisect each other
- The same side interior angles are known to supplement each other
- A diagonal would be dividing a parallelogram into two concurrent triangles
Parallelogram and their types
Coming to a parallelogram it is split into a few categories, which depends upon the various characteristics. It would be split into a few parts
Rectangular
A rectangular is a parallelogram with a pair of two sides and parallel opposite sides with four side angles. In a rectangular would relate to the following properties.
- Two pairs of parallel sides are equal
- Four angles are right
- The opposite side of equal lengths will be equal
- There are a couple of diagonals that are equal.
- The diagonals would bisect each other
Square
A square is considered to a parallelogram where the four sides and four angles would be equal.
- The four sides are equal
- The two diagonals are equal
- There are a couple of parallel sides
- It consists of four right angles
- The diagonals would be perpendicular to each other
- The diagonals bisect each other.
Rhombus
The rhombus is a parallelogram where there are four equal sides and the opposite sides turn out to be equal. The features are
- A couple of pairs of parallel sides
- The diagonals bisect each other. Even they are known to be perpendicular to each other
- The four sides are equal to each other
- The opposite angles are equal
Parallelogram and its area,
Then there is an area of parallelogram which is the space that would be enclosed among the four sides. You may be able to arrive if you know the base length, along with the height of the base and would be measured in square units like cm 2, inch 2 and. You need to observe the parallelogram that is going to showcase the length and the height.
An example is let us consider a parallelogram PQRS. Now you arrive at the area of a parallelogram which is calculated by base denoted by B and height which is H.
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