based on side write the properties of parallelogram Rhombus trapezium isosceles trapezium kite
Answers
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Properties of a parallelogram :-
● Opposite sides are parallel and congruent.
● Opposite angles are congruent.
● Adjacent angles are supplementary.
● Diagonals bisect each other and each diagonal divides the parallelogram into two congruent triangles.
● If one of the angles of a parallelogram is a right angle then all other angles are right and it becomes a rectangle.
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Properties of a Rhombus :-
● All sides are congruent.
● Opposite angles are congruent.
● The diagonals are perpendicular to and bisect each other.
● Adjacent angles are supplementary (For eg., ∠A + ∠B = 180°).
● A rhombus is a parallelogram whose diagonals are perpendicular to each other.
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Properties of a Trapezium :-
● The bases of the trapezium are parallel to each other (MN ⫽ OP).
● No sides, angles and diagonals are congruent.
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Properties of isosceles trapezium :-
● In any isosceles trapezium, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram).
● The diagonals are also of equal length.
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Properties of Kite :-
● The two angles are equal where the unequal sides meet.
● It can be viewed as a pair of congruent triangles with a common base.
● It has 2 diagonals that intersect each other at right angles.
The longer or main diagonal bisects the other diagonal.
● A kite is symmetrical about its main diagonal.