FRANK Solutions for Class 9 Maths Chapter 20 - Constructions of Quadrilaterals

Revise some geometry Frank Solutions for ICSE Class 9 Mathematics Chapter 20 Constructions of Quadrilaterals. Be it a trapezium or a parallelogram, go through the step-wise instructions to construct a quadrilateral. Our chapter-wise textbook solutions include model answers by experts that build your skills for doing well in your Maths exam.

If constructing geometric figures is a challenge for you, our Frank textbook solutions can guide you with the steps to create the accurate constructions. TopperLearning further supports your Maths learning by equipping you with online study materials like online practice tests, Selina solutions, etc.

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Chapter 20 - Constructions of Quadrilaterals Exercise Ex. 20.1

Question 1
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Solution 1
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Question 2
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Solution 2
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Question 3
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Solution 3
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Question 4

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Solution 4

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Question 5

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Solution 5

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Question 6

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Solution 6

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Question 7

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Solution 7

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Question 8

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Solution 8

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Question 9

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Solution 9

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Question 10

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Solution 10

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Question 11
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Solution 11
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Question 12
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Solution 12
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Question 13
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Solution 13
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Question 14(a)

Construct a rectangle ABCD, when

AD = 3.2cm and diagonal BD = 5.5cm. Measure CD.

Solution 14(a)

Steps of construction:

  1. Draw AD = 3.2 cm
  2. Draw XAD = 90°.
  3. With D as centre and radius BD = 5.5 cm, draw an arc to cut AX at point B.
  4. Join BD.
  5. With B as centre and radius 3.2 cm draw an arc and with D as centre and radius = AB, draw another arc to cut the previous arc at C.
  6. Join BC and CD.

Thus, ABCD is the required rectangle.

CD = 4.5 cm

 

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Question 14(b)

Construct a rectangle ABCD, when

AB = 5cm and BC = 6.2cm.

Solution 14(b)

Steps of construction:

  1. Draw BC = 6.2 cm
  2. Through B, draw BP such that B = 90°
  3. From BP, cut BA = 5 cm
  4. With A and C as centres and radii 6.2 cm and 5 cm respectively, draw arcs cutting each other at D.
  5. Join AD and CD.

Thus, ABCD is the required triangle.

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

 

Question 15

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Solution 15

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Question 16

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Solution 16

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Question 17

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Solution 17

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Question 18(a)

Construct a rectangle PQRS, when its

Area = 21 cm2 and length = 4.2cm

Solution 18(a)

Since area of rectangle = 21 cm2

And, length = 4.2 cm

Breadth = Area ÷ Length = 21 ÷ 4.2 = 5 cm

Steps of construction:

  1. Draw BC = 5 cm
  2. Through B, draw BP such that B = 90°
  3. From BP, cut BA = 4.2 cm
  4. With A and C as centres and radii 5 cm and 4.2 cm respectively, draw arcs cutting each other at D.
  5. Join AD and CD.

Thus, ABCD is the required triangle.

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

 

Question 18(b)

Construct a rectangle PQRS, when its

Area = 33.8cm2 and breadth = 6.5cm

Solution 18(b)

Since area of rectangle = 33.8 cm2

And, breadth = 6.5 cm

Length = Area ÷ Breadth = 33.8 ÷ 6.5 = 5.2 cm

Steps of construction:

  1. Draw BC = 6.5 cm
  2. Through B, draw BP such that B = 90°
  3. From BP, cut BA = 5.2 cm
  4. With A and C as centres and radii 6.5 cm and 5.2 cm respectively, draw arcs cutting each other at D.
  5. Join AD and CD.

Thus, ABCD is the required triangle.

Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals

Question 19
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Solution 19
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Question 20
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals
Solution 20
Frank Solutions Icse Class 9 Mathematics Chapter - Constructions Of Quadrilaterals