Question

what are the properties of rhombus , parallelogram , kite , trapezium?​

Answer 1

Answer:

Trapezium is a quadrilateral in which a pair of opposite sides is parallel. Kite is a quadrilateral which has two pairs of equal consecutive sides. A parallelogram is a quadrilateral in which each pair of opposite sides is parallel. A rhombus is a parallelogram in which adjacent sides are equal.

Answer 2

Answer:

PROPERTIES OF KITE:

▪ Two disjoint pairs of consecutive sides are congruent by definition.

▪ The diagonals are perpendicular.

▪ One diagonal is the perpendicular bisector of the other diagonal.

▪ The main diagonal bisects a pair of opposite angles.

▪ The opposite angles at the endpoints of the cross diagonal are congruent.

PROPERTIES OF TRAPEZIUM:

▪ The bases of the trapezium are parallel to each other (MN ⫽ OP).

▪ No sides, angles and diagonals are congruent.

IMPORTANT FORMULAE FOR TRAPEZIUM:

▪ Area = (1/2) h (L+L2)

▪ Perimeter = L + L1 + L2 + L3

PROPERTIES OF 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.

PROPERTIES OF 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 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 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.

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