Question

$(b)Write all the properties of$(/b)

(1)Rectangle
(2)Square
(3)Rhombus
(4) Parallelogram
(5)Kite
(6)Trapezium

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Answer 1

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.

Properties of a Rectangle
Opposite sides are parallel and congruent.
All angles are right.
The diagonals are congruent and bisect each other (divide each other equally).
Opposite angles formed at the point where diagonals meet are congruent.
A rectangle is a special type of parallelogram whose angles are right.

Properties of a square
All sides and angles are congruent.
Opposite sides are parallel to each other.
The diagonals are congruent.
The diagonals are perpendicular to and bisect each other.
A square is a special type of parallelogram whose all angles and sides are equal.
Also, a parallelogram becomes a square when the diagonals are equal and right bisectors of each other.

Properties of a Trapezium
The bases of the trapezium are parallel to each other
No sides, angles and diagonals are congruent.

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