# Quadrilaterals Class-9th RS Aggarwal ICSE Maths Goyal Brothers

**Quadrilaterals Class-9th RS Aggarwal** ICSE 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 and Exe-11 B to develop skill and confidence. Visit official Website **CISCE** for detail information about ICSE Board Class-9 Mathematics.

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

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**Exercise – 11 A, Quadrilaterals Class-9th RS Aggarwal** ICSE Mathematics Solutions Goyal Brothers Prakashan

Question 1

In the given figure ABCD is a parallelogram ……..

Answer

ABCD is a parallelogram

Question 2

In the given figure ABCD is a parallelogram ……..

Answer

ABCD is a parallelogram

Side DC is produced to E

Question 3

If an angle …………..parallelogram

Answer

In parallelogram ABCD

Question 4

…………

Answer

ABCD is a parallelogram BD is joined

Question 5

………………….

Answer

ABCD is a rhombus

Question 6

…………………..

Answer

In the figure ABCD square and

Question 7

…………………

Answer

ABCD is a rhombus and its diagonal bisects each other at right angels at O

Question 8

……………….

Answer

ABCD is rectangels and its diagonals AC and BD bisect each other at O

Diagonal AC is produced to E such that .

Diagonal AC is produced to E such that Angel ECD = 140 ‘

Question 9

……………..

Answer

In the figure

ABCD is a kite

Question 10

………………….

Answer

ABCD is an Isosceles trapezium in which

Question 11

……………….

Answer

In trapezium ABCD

Question 12

……………….

Answer

(I) ABCD is rhombus and Δ EDC is an equilateral .

Question 13

…………………….

Answer

ABCD is square and triangle ECD is an equilateral triangels Diagonal BD and CE

hence x=75

Question 14

………………….

Answer

Question 15

……………………

Answer

Given ABCD and PQBA are two parallelogram PD and QC are joined

Hence proved

Question 16

………………..

Answer

Given ABCD is parallelogram

Hence proved

Question 17

………………..

Answer

Given ABCD is parallelogram

X is mid point of BC .

AX is joined and produced at Q from B , BP is a parallelogram

Hence proved

Question 18

………………

Answer

Given ABCD is parallelogram

Hence proved

Question 19

…………..

Answer

Given ABCD is parallelogram X and Y are points on diagonal BD such that DX = BY

Hence proved

Question 20

…………..

Answer

Given ABCD is parallelogram

In quadrilateral PQRS , its each angle is of 90

So PQRS is rectangle

Hence proved

Question 21

……………

Answer

Given ABCD is parallelogram

ABCD is rhombus

But diagonal of a rhombus bisect each other at right angles

So AC and BD are perpendicular to each oyher

hence proved

Question 22

……………..

Answer

Given ABCD is parallelogram E is mid point of BC , DE and AB are produce to meet at F

hence proved

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

Question 1

Construct a quadrilateral PQRS in which PQ=4 cm …………….

Answer

Steps of construction

(i) Draw a line segment PQ = 4 cm

Then PQRS is the required quadrilateral

Question 2

Construct a quadrilateral ABCD in which…………..

Answer

Steps of construction

(vi) join AD and CD

Then ABCD is the required quadrilateral

Question 3

Construct a quadrilateral ABCD in which…………..

Answer

Steps of construction

(i) Draw a line segment BC = 4.7 cm

Then ABCD is required quadrilateral

Question 4

Construct a quadrilateral UVWZ in which………..

Answer

Steps of construction

(i) Draw a line segment UV = 6 cm

Then UVWZ is required quadrilateral

Question 5

Construct a quadrilateral PQRS in which……….

Answer

Steps of construction

(i) Draw a line segment QR = 5.6 cm

Then PQRS is required quadrilateral

Question 6

Draw a quadrilateral ABCD in which …………

Answer

Steps of construction

(i) Draw a line segment QR = 5.6 cm

Then ABCD is required quadrilateral

Question 7

……………

Answer

Steps of construction

(i) Draw a line segment QR = 5.6 cm

Then XYZT is required quadrilateral

Question 8

……………

Answer

Steps of construction

(i) Draw a line segment QR = 6 cm

Then ABCD is required parallelogram

Question 9

……………….

Answer

Steps of construction

(i) Draw a line segment PQ = 2.8 cm

Then PQRS is required parallelogram

Question 10

…………..

Answer

Steps of construction

(i) Draw a line segment BC = 5cm

Then ABCD is required parallelogram

Question 11

……………

Answer

Steps of construction

(i) Draw a line segment BC = 4.5 cm

Then ABCD is required parallelogram

Question 12

Answer

Steps of construction

(i) Draw a line segment BC = 5.6 cm

Then ABCD is required parallelogram

Question 13

…………….

Answer

Steps of construction

(i) Draw a line segment BC = 4.7cm

Then ABCD is required rectangle .

Question 14

…………….

Answer

Steps of construction

(i) Draw a line segment BC = 4.5cm

Then ABCD is required rectangle .

Question 15

Construct a rectangle ABCD ……………..

Answer

Steps of construction

(i) Draw a line segment BC = 6.3cm

Then ABCD is required rectangle .

Question 16

……………..

Answer

Steps of construction

(i) Draw a line segment BC = 6 cm

Then ABCD is required square.

Question 17

………………….

Answer

Steps of construction

(i) Draw a line segment BC = 4.3cm

Then ABCD is required rhombus .

Question 18

………………….

Answer

Steps of construction

(i) Draw a line segment BC = 6.8cm

Then ABCD is required rhombus .

Question 19

………………

Answer

Steps of construction

(i) Draw a line segment BC = 5.8cm

Then ABCD is required rhombus .

Question 20

……………….

Answer

Steps of construction

(i) Draw a line segment BC = 5.6cm

Question 21

………………..

Answer

We know that each angle of a regular hexagon = 120‘

Steps of construction

(i) Draw AB =2 cm

Question 22

………………

Answer

We know that each angle of a regular hexagon = 120‘

Steps of construction

(i) Draw AB =3.5 cm

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