Let us study about the 5 properties of parallelogram. Parallelogram is also a type of quadrilateral. Parallelogram is said to have two pairs of parallel sides.
Each pair has equal length. Also their diagonals are seemed to bisect each other in the center point.
Parallelograms have 5 important properties used in their construction point and evaluation point. All those 5 properties of parallelogram are discussed in detail with their examples below.
5 properties of parallelogram:
The 5 important properties of parallelogram are as follows:
a) Parallelogram opposite sides are said to be parallel.
b) Opposite sides are seemed to be congruent in parallelogram.
c) Also parallelogram is said to have congruent opposite angles.
d) Parallelograms two consecutive angles are supplementary angles.
e) Parallelogram diagonals seemed to be bisecting each other right at their center point.
Parallelogram opposite sides are said to be parallel:
two pairs of parallel sides
This is the 1st property of parallelogram.
The above figure ABCD is seemed to be having two pairs of parallel sides as (AD, BC) and (DC, AB). Therefore it is a parallelogram.
Opposite sides are seemed to be congruent in parallelogram:
two pairs of congruent sides
This is the 2nd property of parallelogram.
The above figure MNOP is seemed to have the two pairs of congruent opposite sides as (MP, NO) and (PO, MN).
Parallelogram is said to have congruent opposite angles:
two pairs of congruent opposite angles
This is the 3rd property of parallelogram.
The above figure KLMN is seemed to have the two opposite pairs of congruent angles as (angle K, angle M) and (angle L, angle N).
Parallelograms two consecutive angles are supplementary angles:
two consecutive angles are supplementary
This is the 4th property of parallelogram.
The above figure ABCD is showing that all their two consecutive angles are supplementary angles as (A, B) or (A, C) or (C, D) or (B, D).
Parallelogram diagonals bisect each other right at their center point:
diagonals bisecting each other
This is the 5th property of parallelogram.
From the above figure ABCD we prove that the two diagonals of the parallelogram one which extends form A and other which extends from B will meet C and D respectively.
Also they bisect each other exactly at the center position of that parallelogram.
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