Concepts of Parallelograms and their properties
A parallelogram can be characterized as a kind of polygon. It is a quadrilateral that has inverse sides that are parallel to each other. To decide whether the quadrilateral you’re working with is a parallelogram, you really want to know the few properties of parallelograms.
Different Properties of a Parallelogram
The Opposite Sides Are Parallel to Each Other
Parallel lines will be lines that are dependably a similar distance away and they never contact. Assuming the sides of a parallelogram were lines that progressed forward, the ones inverse of the other could never contact. These lines would continue with the same length between them regardless of how far they are expanded. On the off chance that your quadrilateral has inverse sides that are parallel, you might have a parallelogram.
The Inverse Sides Are Congruent
In math, congruent implies that two things are the same or identical. If you somehow happened to superimpose the shapes on top of one another they would coordinate precisely. This is valid for a parallelogram’s sides. All of the opposite sides are similar in length. If you somehow managed to split the shape up and put the opposite sides on top of one another, you would see that they line up impeccably.
The Inverse Angles are Congruent
The angles that are opposite of one another are additionally congruent. To see whether your quadrilateral is a parallelogram, you could get out your protractor and measure each angle. The angles inverse of one another will have a similar estimation. It’s normal for a parallelogram to have two acute angles and two obtuse angles. Thus, the acute angles ought to have a similar estimation, and the obtuse angles should likewise have a similar estimation.
The Adjacent Angles Are Supplementary
To track down another of the properties of parallelograms, imagine a fictitious line through the shape to slice it down the middle. Then, at that angle, take a gander at the sequential angles (or the ones that are close to one another). In the event that the angles are supplementary, the shape may be a parallelogram.
Supplementary angles are two angles that amount to 180 degrees. Suppose that two of the adjacent angles have estimations of 45 degrees and 135 degrees. Assuming we add these together (45 + 135), the aggregate is equal to 180 degrees. In this way, we have supplementary angles.
Diagonals Divide Each Other In Equal Halves
Presently claim to define an imaginary line from one angle to its inverse, congruent angle. This line should make two congruent triangles inside the shape. From that angle, continue to define one more imaginary line from the supplementary angle to its inverse, supplementary angle. These two imaginary lines should divide each other equally. If so with the diagonal lines, then, at that angle, you have a parallelogram.
An Angle is a Right Angle
The last property possibly matters assuming there is a right angle in your quadrilateral. On the off chance that you have one angle that is a right angle, the remainder of the angles ought to be right angles, as well. This is because we realize that the inverse angles are supplementary. We additionally realize that consecutive or adjacent are supplementary, which is 90 + 90 = 180. Accordingly, every one of the four angles would have an estimation of 90-degrees.
We should revise what we learnt. You’ll realize that your quadrilateral is a parallelogram assuming it has these properties of parallelograms:
- The inverse sides are parallel to one another.
- The inverse sides are supplementary.
- The inverse angles are supplementary.
- Consecutive angles are supplementary and they amount to 180-degrees.
- The diagonals separate one another equally.
- All of the four angles measure 90-degrees assuming that one angle estimates 90-degrees.
Search for these 6 properties of parallelograms as you recognize which sort of polygon you have. Please visit Cuemath for further concepts regarding Area of Parallelogram and other Math lessons available online.