Question

compare the propeties of Rhombus
Trapezium and kite
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Answer 1

Answer:

Rhombus - is a quadrilateral whose all four sides are equal in length and opposite sides are parallel to each other. However, the angles are not equal to 90°. A rhombus with right angles would become a square. Another name for rhombus is ‘diamond’ as it looks similar to the diamond suit in playing card.

Properties of rhombus

A rhombus is a quadrilateral which has the following four properties:

Opposite angles are equal

All sides are equal and, opposite sides are parallel to each other

Diagonals bisect each other perpendicularly

Sum of any two adjacent angles is 180°

Rhombus formulas – Area and perimeter of a rhombus

If the side of a rhombus is a then, perimeter of a rhombus = 4a

If the length of two diagonals of the rhombus is d1 and d2 then the area of a rhombus = ½ × d1 × d2

Trapezium - trapezium (called Trapezoid in the US) is a quadrilateral which has only one pair of parallel sides. The parallel sides are referred to as ‘bases’ and the other two sides are called ‘legs’ or lateral sides.

Trapezium formulas – Area and perimeter of a trapezium

If the height of a trapezium is ‘h’ (as shown in the above diagram) then:

Perimeter of the trapezium= Sum of lengths of all the sides = AB + BC + CD + DA

Area of the trapezium = ½ × (Sum of lengths of parallel sides) × h = ½ × (AB + CD) × h

Kite - Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.