Question

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

Answer 1

Answer:

Properties of Kite, trapezium, rhombus, cyclic quadrilaterals

Step-by-step explanation:

Kite:

the longer or main diagonal bisects the other diagonal.

the two angles are equal where the unequal sides meet.

it has 2 diagonals that intersect each other at right angles.

Trapezium:

the sum of all the four angles of the trapezium is equal to 360 degrees

a trapezium has two parallel sides and two non-parallel sides.

Rhombus:

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 degrees

Cyclic Quadrilaeterals:

all the four vertices of the quadrilateral lie in the circumference of the circle

the sum of two opposite angles is euaql to 180 degrees

Answer 2

$\huge\mathbb\colorbox{black}{\color{green}{QuƏ§TiØn}}$

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

$\huge\color{green}\boxed{\colorbox{black}{♡Answer♡}}$

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

• 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

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

• 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

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

• 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 °

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

• 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