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Made by: Vishal Rana

Submitted to: Meenakshi mam

QUESTIONS:

Q Draw the graph of equation 2x+y=6. find the co-ordinate of the point, where graph cut the x-axis. Shade the region bounded by the graph & the co-ordinate of axis.1) which is the shape form?2)find the area of shape formed?

2x+y=6y=6-2x

if x=1 then, y=6-2(1)=4if x=2 then, y=6-2(2)=2if x=3 then, y=6-2(3)=0

X 1 2 3

Y 4 2 0

1) It is a triangle2)Base of triangle:3 units height of triangle:6 unit area of triangle=1/2 x base x height

=(1/2 x 3 x 6)units =9 sq . units

QUADRILATERALS

The word ‘quad’ means four & the word ‘lateral’ means sides. thus, a plane figure bounded by four line segments AB,BC,CD&DA is called a quadrilateral & is written as quad.ABCD or ABCD. The point A,B,C,D are called its vertices. The four line segment, AB,BC,CD,DA are the four sides, and the four angels <A,<B,<C,<D are the four angles of quad. ABCD. Two line segments AC&BD are called the diagonals of quad. ABCD.

QuadrilateralsA B

C D

A quadrilateral having exactly one pair of parallel sides, is called a trapezium. ABCD is a trapezium in which AB||CD. A B

D C

Trapezium:

>its two sides are parallel.>its diagonal are not equal.>sum of all angles is 360 degrees.>

properties of trapezium

A quadrilateral is a parallelogram if its both pairs of opposite sides are parallel.

PARALLELOGRAM:

A B

C D

>A diagonal of a parallelogram divides it into two congruent triangles.

>in a parallelogram, opposite sides are equal.

>the opposite angles of angles of a parallelogram are equal

Properties of

parallelogram

> The diagonal of a parallelogram bisect each other.

>in A parallelogram, the bisectors of any two consecutive angles intersect at right angles

> if diagonal of a parallelogram bisects one of the angles of the parallelogram, it also bisects the second angles.

A parallelogram whose each angles is a right angle, is called a rectangle. A B

D C

Rectangle:

>its all angle are of 90 degrees.

>its opp. Sides are equal & parallel.

>its diagonal are equal & bisect each other.

>its diagonal cut each other at 90 degrees.

Properties of Rectangle

A parallelogram whose each angles is a right angle and each sides are equal, is called a square. A B

D C

Square:

>it’s each sides and each angles are equal .

> its diagonal are equal to each other and bisects each other at 90 degrees .

>its opp. Sides are parallel to each other.

PROPERTIES OF SQUARE

A parallelogram with equal sides is known as rhombus.

Rhombus:

A B

C D

>Rhombus has equal sides.

>it’s opposites angles are equal.

> it’s diagonal bisect each other.

> it’s diagonals cut the rhombus into two congruent triangles.

Properties of Rhombus

A quadrilateral is a kite if it has pair of equal adjacent sides & unequal opposite sides

Kite:

AB

C

D

>it have a pair of equal angle & unequal angles.

>it have unequal diagonals.

>its longer diagonal always cut the kite into two congruent triangles.

Properties of kite:

Thank you