Construction of Polygons Class-9th Concise Selina ICSE Maths

Construction of Polygons Class-9th Concise Selina ICSE Mathematics Solutions Chapter-15. We provide step by step Solutions of Exercise / lesson-15 Construction of Polygons  for ICSE Class-9th Concise Selina Mathematics by R K Bansal.

Our Solutions contain all type Questions with Exe-15 to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-9th Mathematics .

Construction of Polygons Class-9th Concise Selina ICSE Mathematics Solutions Chapter-15


Exercise – 15, Construction of Polygons Class-9th Concise Selina ICSE Mathematics

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Question 1

Construct a quadrilateral ABCD, when:

AB = 3.2 cm, BC = 5.2 cm, CD = 6.2 cm, DA = 4.2 cm and BD = 5.2 cm.

Answer

Ans 1 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

Steps:

  1. Draw. AB = 3.2cm
  1. With A as a centre draw an arc at D and with B as a centre and radius 5.2 cm draw an arc at D.
  2. join AD and DB.
  3. With D and b as a centre taking radius 6.2 cm and 5.2 cm draw arc at C. Now join BC and DC.

ABCD is the required quadrilateral.

Question 2

Construct a quadrilateral ABCD, when:

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AB = 7.2 cm, BC = 5.8 cm, CD = 6.3 cm, AD = 4.3 cm and angle A = 75o.

Answer

Ans 2 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

Steps:

  1. Draw.AB = 7.2cm
  2. Through A draw AP such that.
  3. From AP cut
  4. With D and B as centre and radii 6.2 cm and 5.8 cm respectively, draw arcs cutting each other at C.
  5. Join DC and BC.

ABCD is the required quadrilateral.

Question 3

Construct a quadrilateral ABCD, when:

Angle A = 90o, AB = 4.6 cm, BD = 6.4 cm, AC = 6.0 cm and CD = 4.2 cm.

Answer

Ans 3 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

Steps:

  1. Draw AB = 4.6 cm
  2. Through A, draw AP such that Angle A = 90°.
  3. With B as a centre and radii 6.4 cm draw an arc at D on AP.
  4. With D and A as a centre and radii 4.2 cm and 6 cm draw arc cutting each other at C.
  5. Now join BD, AC and CB.

ABCD is the required quadrilateral.

Question 4

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Construct a quadrilateral ABCD, when:

AB = 3.8 cm, AC = 4.8 cm, AD = 2.8 cm, angle A = 105o and angle B = 60o.

Answer

Ans 4 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

4 With A as a centre and radii 4.8 cm draw an arc cutting BP at C.

5 Join AC,AD.

ABCD is the required quadrilateral

Question 5

Construct a quadrilateral ABCD, when:

BC = 7.5 cm AC = 5.8 cm, AD = 3.6 cm, CD = 4.2 cm and angle A = 120o.

Answer

Ans 5 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

3 With A and D as a centre and radii 5.8 cm and 4.2 cm draw arcs cutting each other at C.

4 Now join AC and CD.

5 Now with C as centre and radii 7.5 cm draw an arc at B on AP.

Now join CB.

ABCD is the required quadrilateral.

Question 6 (Construction of Polygons Class-9th Concise)

Construct a quadrilateral ABCD, when:

AD = AB = 4 cm, BC = 2.8 cm, CD = 2.5 cm and angle BAD = 45o.

Answer

Ans 6 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

Steps:

  1. Draw AD = 4 cm
  2. Draw AP such that ∠A =45 ‘
  1. With A as a centre with radii 4 cm draw an arc at B on AP.
  2. Now taking B and D as a centre and radii 2.8 cm and 2.8 cm draw arcs cutting each other at C.
  3. Now join BC and CD.

ABCD is the required quadrilateral.

Question 7

Construct a quadrilateral ABCD, when:

AB = 6.3 cm, BC = CD=4.2 cm and ABC = ∠BCD = 90o.

Answer

Ans 7 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

5 Now join AD

ABCD is the required quadrilateral.

Question 8

Construct a parallelogram ABCD, when:

AB = 4.4 cm, AD = 6.2 cm and AC = 4.8 cm.

Answer

Ans 8 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

2 Draw triangle ACD.

3 Then draw triangle ABC.

ABCD is the required parallelogram

Question 9

Construct a parallelogram ABCD, when:

Diagonal AC = 6.4 cm, diagonals BD = 8.2 cm and angle between the diagonals = 60o

Answer

Ans 9 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

3 Join AB,BC,CD and DA.

ABCD is the required parallelogram.

Question 10

Construct a parallelogram ABCD, when:

AB = 5.8 cm, diagonal AC = 8.2 cm and diagonal BD = 6.2 cm.

Answer

Ans 10 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

  1. Join AD,DC and CB.

ABCD is the required parallelogram.

Question 11

Construct a parallelogram ABCD, when:

AB = 6.0 cm, AD = 5.0 cm and ∠A = 45o.

Answer

Ans 11 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

  1. With D and B as a centre and radii 6 cm and 5cm draw arcs cutting each other at C.
  2. Now join DC and BC.

ABCD is the required parallelogram.

Question 12

Construct a parallelogram ABCD, when:

Base AB = 6.5 cm, BC = 4 cm and the altitude corresponding to AB = 3.1 cm.

Answer

Ans 12 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

Question 13

Construct a parallelogram ABCD, when:

AB = 4.5 cm, ∠B = 120o and the distance between AB and DC = 3.0 cm.

Answer

Ans 13 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

4 Through E draw perpendicular to BP to get QR parallel to AB.

5 With B as a centre draw an arc which cuts QR at C.

6 With A as a centre draw an arc which cuts QR at D.

Now join Ad and BC.

ABCD is the required parallelogram.

Question 14

Construct a parallelogram ABCD, when:

Base BC = 5.6 cm, diagonal BD = 6.5 cm and altitude = 3.2 cm.

Answer

Ans 14 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

Steps:

  1. Draw.BC=5.6 cm
  2. At C, draw CX perpendicular to BC.
  3. with C as a centre and taking radius 3.2 cm draw an arc to cut CX at Y.
  4. Through Y draw a straight line PQ parallel to BC.
  5. With B as a centre and radius 6.5 cm draw an arc to meet PQ at D.
  6. With D as a centre and radius equal to 5.6 cm , draw an arc to meet PQ at A.
  7. Join BA,BD and CD.

ABCD is the required parallelogram.

Question 15

Construct a rectangle ABCD, when:

Its sides are 6.0 cm and 7.2 cm.

Answer

Ans 15 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

  1. with B as a centre draw a line BX taking as a
  2. Now taking radius 6 cm draw an arc at A.
  3. From point A draw a line AY parallel to BC.
  4. With A as a centre taking radius 7.2 cm draw an arc at D.
  5. Now join CD.

ABCD is the required rectangle.

Question 16 (Construction of Polygons Class-9th Concise)

Construct a rectangle ABCD, when:

One side = 4 cm and one diagonal is 5 cm. Measure the length of other side.

Answer

Ans 16 Exercise - 15 Construction of Polygons Concise Class-9th Selina ICSE Maths

Steps:

  1. Draw.BC=4
  2. With C as a centre and radius 5 cm draw an arc at A.
  3. Now join AB and AC.
  4. With A as a centre draw an arc at D.
  5. Now join AD and CD.

ABCD is the required rectangle.

Question 17

Construct a rectangle ABCD, when:

One diagonal = 6.0 cm and the acute angle between the diagonals = 45o.

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