Question

draw and write the properties of following shapes. kite, trapezium, rhombus, cyclic quadrilaterals,​

Answer 1

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draw and write the properties of following shapes. kite, trapezium, rhombus, cyclic quadrilaterals,

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$\huge\star\underline\mathrm\red{Kite}$

• It has two diagonal which intersect each other at right angle
• A kite is symmetrical about its main diagonal
• The shorter diagonal divides the kite into 2 isosceles triangle
• It cam be viewed as a pair of congruent triangle with common base
• The two angles are equal where the unequal sides meet

$\huge\star\underline\mathrm\red{Trapezium}$

• The parallel sides ate called bases
• The other non-parallel sides are called legs
• If the two non parallel sides are equal and form equal angles at one of the bases ,the trapezium is an isosceles trapezium

$\huge\star\underline\mathrm\red{Rhombus}$

• All sides of rhombus are equal
• The opposite sides of rhombus are equal
• opposite angles of rhombus are equal
• in a rhombus diagonals bisect each other at right angle
• Diagonals of rhombus bisect the angles
• within a rhombus ,there can be no inscribing circle
• The sum of two adjacent angles is equal to 180 °

$\huge\star\underline\mathrm\red{cyclic\: quadrilateral}$

• In a cyclic quadrilateral ,the sum of a pair of opposite angle is 180°
• If the sum of the two opposite angle are supplementary ,then it's a cyclic quadrilateral
• The area of cyclic quadrilateral is
• = √(s-a)(s-b)(s-c)(s-d)
• The four vertices of a cyclic quadrilateral lie on the circumference of the circle

Answer 2

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