Quadrilaterals Class-9th RS Aggarwal ICSE Maths Goyal Brothers

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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,

Exercise-11 B,


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

Ans 1 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Question 2

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

Answer

ABCD is a parallelogram

Side DC is produced  to E

Ans 2 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Ans 2 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Question 3

If an angle …………..parallelogram

Answer

In  parallelogram ABCD

Ans 3 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Question 4

…………

Answer

ABCD is a parallelogram BD is joined

Ans 4 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Question 5

………………….

Answer

ABCD is a rhombus

Ans 5 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Question 6

…………………..

Answer

In the figure ABCD square and

Ans 6 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Question 7

…………………

Answer

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

Ans 7 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

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 ‘

Ans 8 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Question 9

……………..

Answer

In the figure

ABCD is a kite

Ans 9 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Question 10

………………….

Answer

ABCD is an Isosceles trapezium in which

Ans 10 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Question 11

……………….

Answer

In trapezium ABCD

Ans 11 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Question 12

……………….

Answer

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

Ans 12 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Question 13

…………………….

Answer

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

Ans 13 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

hence x=75

Question 14

………………….

Answer

Ans 14 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Question 15

……………………

Answer

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

Ans 15 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Hence proved

Question 16

………………..

Answer

Given ABCD is parallelogram

Ans 16 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

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

Ans 17 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Hence proved

Question 18

………………

Answer

Given ABCD is parallelogram

Ans 18 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Hence proved

Question 19

…………..

Answer

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

Ans 19 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Hence proved

Question 20

…………..

Answer

Given ABCD is parallelogram

Ans 20 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

In quadrilateral PQRS , its each angle is of 90

So PQRS is rectangle

Hence proved

Question 21

……………

Answer

Given ABCD is parallelogram

Ans 21 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

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

Ans 22 Exercise - 11 A Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

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

Ans 1 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Then PQRS is the required quadrilateral

Question 2

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

Answer

Steps of construction

Ans 2 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

(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

Ans 3 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

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

Ans 4 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

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

Ans 5 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

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

Ans 6 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Then ABCD is required quadrilateral

Question 7

……………

Answer

Steps of construction

(i) Draw  a line segment QR = 5.6 cm

Ans 7 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Then XYZT is required quadrilateral

Question 8

……………

Answer

Steps of construction

(i) Draw  a line segment QR = 6 cm

Ans 8Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Then ABCD is required parallelogram

Question 9

……………….

Answer

Steps of construction

(i) Draw  a line segment PQ = 2.8 cm

Ans 9 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Then PQRS is required parallelogram

Question 10

…………..

Answer

Steps of construction

(i) Draw  a line segment BC = 5cm

Ans 10 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Then ABCD is required parallelogram

Question 11

……………

Answer

Steps of construction

(i) Draw  a line segment BC = 4.5 cm

Ans 11 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Then ABCD is required parallelogram

Question 12

Answer

Steps of construction

(i) Draw  a line segment BC = 5.6 cm

Ans 12 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Then ABCD is required parallelogram

Question 13

…………….

Answer

Steps of construction

(i) Draw  a line segment BC = 4.7cm

Ans 13 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Then ABCD is required rectangle .

Question 14

…………….

Answer

Steps of construction

(i) Draw  a line segment BC = 4.5cm

Ans 14 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Then ABCD is required rectangle .

Question 15

Construct a rectangle ABCD ……………..

Answer

Steps of construction

(i) Draw  a line segment BC = 6.3cm

Ans 15 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Then ABCD is required rectangle .

Question 16

……………..

Answer

Steps of construction

(i) Draw  a line segment BC = 6 cm

Ans 16 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Then ABCD is required square.

Question 17

………………….

Answer

Steps of construction

(i) Draw  a line segment BC = 4.3cm

Ans 17 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Then ABCD is required rhombus .

Question 18

………………….

Answer

Steps of construction

(i) Draw  a line segment BC = 6.8cm

Ans 18 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Then ABCD is required rhombus .

Question 19

………………

Answer

Steps of construction

(i) Draw  a line segment BC = 5.8cm

Ans 19 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Then ABCD is required rhombus .

Question 20

……………….

Answer

Steps of construction

(i) Draw  a line segment BC = 5.6cm

Ans 20 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Question 21

………………..

Answer

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

Steps of construction

(i) Draw  AB =2 cm

Ans 21 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

Question 22

………………

Answer

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

Steps of construction

(i) Draw  AB =3.5 cm

Ans 22 Exercise - 11 B Quadrilaterals ICSE Class-9th RS Aggarwal Maths Goyal Brothers

 

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

 

Return to – RS Aggarwal Solutions for ICSE Class-9 Goyal Brothers Prakashan


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