Question

tell me few lines about :-
concepts of quadrilateral and parallelogram and it's properties ​

Answer 1

Concepts of quadrilateral:

In geometry, a quadrilateral can be defined as a closed, two-dimensional shape which has four straight sides. The polygon has four vertices or corners.

Concepts of parallelogram:

A simple (non-self-intersecting) quadrilateral is a parallelogram if and only if any one of the following statements is true: Two pairs of opposite sides are parallel (by definition). Two pairs of opposite sides are equal in length. Two pairs of opposite angles are equal in measure.

Properties of quadrilateral :

quadrilaterals Rectangle Trapezium

•Opposite Sides

are parallel. ✔ ✔

•All angles are

equal ✔ ✖

•Opposite angles

are equal ✔ ✖

•Sum of two adjacent

angles is 180 ✔ ✖

Properties of parallelogram :

•Opposite sides are congruent (AB = DC).

•Opposite angels are congruent (D = B).

•Consecutive angles are supplementary (A + D = 180°).

•If one angle is right, then all angles are right.

•The diagonals of a parallelogram bisect each other.

•Each diagonal of a parallelogram separates it into two congruent triangles.

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Hope this will help you.