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

#### Question 1

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

#### 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.
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.

#### Question 2

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

Question 3

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

#### 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.

#### Question 4

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

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

#### Question 5

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

#### 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.

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

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

#### 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.

#### Question 7

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

#### Question 8

Construct a parallelogram ABCD, when:

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

#### 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

#### 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.

#### ABCD is the required parallelogram.

#### Question 11

Construct a parallelogram ABCD, when:

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

#### Question 13

Construct a parallelogram ABCD, when:

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

#### 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.

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.

#### 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.

#### 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. 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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