# Quadrilaterals Class-9 RS Aggarwal ICSE Maths Goyal

Quadrilaterals Class-9 RS Aggarwal ICSE Goyal Brothers Prakashan Mathematics Solutions Goyal Brothers Prakashan Chapter-11.  We provide step by step Solutions of Exercise / lesson-11 Quadrilaterals for ICSE Class-9 RS Aggarwal Mathematics .

Our Solutions contain all type Questions with Exe-11 A, Exe-11 B, to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-9 Mathematics.

## Quadrilaterals Class-9 RS Aggarwal ICSE Mathematics Solutions Goyal Brothers Prakashan Chapter-11

– : Select Topics :-

Exe-11 A,

Exe-11 B,

Get the complete notes on quadrilaterals class 9 here. A quadrilateral is a shape which has four sides. In this article, we are going to discuss the different types of quadrilaterals such as square, rectangle, parallelogram properties with proofs.

A plane figure bounded by four sides is called a quadrilateral.
Sum of the angles of a quadrilateral is 360°.
A quadrilateral is a parallelogram, if
(i) opposite sides are equal,
(ii) opposite angles are equal,
(iii) diagonals bisect each other,
(iv) a pair of opposite sides is equal and parallel.
A diagonal of a parallelogram divides it into two congruent triangles.
Diagonals of a rhombus bisect each other at right angles, and vice versa.
Diagonals of a square bisect each other at right angles and are equal and vice versa.
Diagonals of a rectangle bisect each other and vice versa.
A line segment joining the mid-points of any two sides of a triangle is parallel to the third side.
A line segment joining the mid-points of any two sides of a triangle is half of the third side.
A line through the mid-point of a side of a triangle, parallel to another side bisects the third side.
The quadrilateral formed by joining the mid-points of the sides of a quadrilateral, is a parallelogram.

A plane figure bounded by four sides is called a quadrilateral. In the following figure, four line segments AB, BC, CD and DA bound a quadrilateral ABCD.
In the given figure, we have.
(i) The points A, B, C and D are the vertices of quadrilateral ABCD.
(ii) The line segments AB, BC, CD and DA are the sides of quadrilateral ABCD.
(iii) The line segments AC and BD are called the diagonals of quadrilateral ABCD.
Note:
(i) Two sides having a common end point are called adjacent sides
(ii) Two sides having no common end point are called opposite sides.
(iii) Two angles of a quadrilateral having a common arm are called consecutive angles.
(iv) Two angles of a quadrilateral having no common arm are called its opposite angles.

### ANGLE SUM PROPERTY OF A QUADRILATERAL

The sum of all the four angles of a quadrilateral is 360°.

### Exercise-11.A,Quadrilaterals Class-9 RS Aggarwal ICSE Goyal Brothers Prakashan Mathematics Solutions Goyal Brothers Prakashan

Question 1

In the given Figure ABCD is a parallelogram in ∠A =70 . Calculate ∠ B ∠C and ∠D

Quadrilaterals Class-9 RS Aggarwal ICSE Goyal Brothers Prakashan Mathematics Solutions Goyal Brothers Prakashan Exercise-11 B

Question 1

Construct a quadrilaterals PQRS in which PQ =4 cm ∠P =90 QR = 4.3 cm and RS = 3.6 cm and SP =3.2 cm

–: End of Quadrilaterals Class-9 RS Aggarwal Aggarwal Solutions  :–

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