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Area

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What is the area of a trapezium and kite??

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Kite and trapezium are

Every kite is a trapezium.

Q. ABCD is a quadrilateral whose diagonal AC divides it into two parts equal in area, then ABCD is:

(a) always a rhombus

(b) a parallelogram

(c) a kite

(d) a trapezium

There was a kite making competition in Rahul’s school. Rahul and his group came up with a kite which looked like the one in the figure.

What is the area of the kite if the area of the red colored part is 50 ${cm}^{2}$ ?

Q. Which of the quadrilaterals mentioned in brackets have the following properties?

(1) Diagonals are congruent. (square, rectangle, rhombus)
(2) The longer diagonal is the perpendicular bisector of the shorter and the shorter of the longer. (trapezium, kite, rhombus)
(3) All sides and angles are congruent. (rhombus, square, rectangle)
(4) Opposite angles are congruent. (kite, parallelogram, rectangle)
(5) Opposite sides are congruent. (trapezium, rectangle, parallelogram)
(6) Diagonals bisect each other at right angles. (square, rectangle, rhombus)
(7) Diagonals bisect each another. (rectangle, parallelogram, kite)
(8) One pair of opposite sides is parallel. (kite rhombus trapezium)

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