# ML Aggarwal Practical Geometry Exe-13.1 Class 6 ICSE Maths Solutions

ML Aggarwal Practical Geometry Exe-13.1 Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of  Exe-13.1 Questions for Practical Geometry as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-6.

## ML Aggarwal Practical Geometry Exe-13.1 Class 6 ICSE Maths Solutions

 Board ICSE Publications Avichal Publishig Company (APC) Subject Maths Class 6th Chapter-13 Practical Geometry Writer ML Aggarwal Book Name Understanding Topics Solution of Exe-13.1 Questions Edition 2023-2024

### Practical Geometry Exe-13.1

ML Aggarwal Class 6 ICSE Maths Solutions

Page-274

#### Question 1. Construct a circle of radius:

(i) 2 cm
(ii) 3.5 cm

(a) 2 cm
Steps of construction :

(i) Open the compasses for the required radius 2 cm,
by putting the pointer on 0 and opening the pencil up to 2 cm
(ii) Draw a point with a sharp pencil and marks it as Q in the centre.
(iii) Place the pointer of the compasses where the centre has been marked.
(iv) Turn the compasses slowly to draw the circle

(b) 3.5 cm
Steps of construction :

(i) Open the compasses for the required radius 3.5cm putting the pointer on 0 and openin’ g the pencil up to 3.5 cm
(ii) Draw a Point with a share Pencil and marks it as O in the centre.
(iii) Place the pointer of the compasses where the centre has been marked.
(iv) Turn the compasses slowly to draw the circle

#### Question 2. With the same centre O, draw two circles of radii 2.6 cm and 4.1 cm.

Steps of construction :

(a) For a circle of radius 4.1 cm
(i) Pen the cor.npasses for the required radius 4.1 cm,
by putting the pointer on 0 and opening the pencil up to 4.1 cm.
(ii) Place the pointer of the compasses at 0.
(iii) Turn the compasses slowly t0 draw the circle.

(b) For a circle of radius of 2.6 cm
(i) Open the compasses for the required radius 2.6 cm, by putting the pointer on 0 and opening the pencil up to 2.6 cm.
(ii) Place the pointer of the compasses at O.
(iii) Turn the compasses slowly to draw the circle.

#### Question 3. Draw any circle and mark points A, B and C such that

(i) A is on the circle.
(ii) B is in the interior of the circle.
(iii) C is in the exterior of the circle.

#### Question 4. Draw a circle and any two of its (non-perpendicular) diameters. If you join the ends of these diameters, what is the figure obtained? What figure is obtained if the diameters are perpendicular to each other? How do you check your answer?

(i) On joining the ends of any two diameters of the circle,
the figure obtained is a rectangle.

(ii) On joining the ends of any two diameters of the circle,
perpendicular to each other, the figure obtained is a square.

we measured the sides and angles of the figure obtained.

#### Question 5. Let A, B be the centres of two circles of equal radii; draw them so that each one of them passes through the centre of the other. Let them intersect at C and D.

Examine whether AB and CD are at right angles.

Yes! AB and CD are at right angles.

#### Question 6. Construct a line segment of length of 6.3 cm using ruler and compass.

Using ruler, we mark two points A and B which are 7.3 cm apart.
Join A and B and get AB.
$\overline{\mathrm{AB}}$ is a line segment of length 7.3 cm

#### Question 7. Construct AB of length 8.3 cm. From this cut off AC of length 5.6 cm. Measure the length of BC . .

Steps of construction :

(i) Draw a line l. Mark a point A on line l.
(ii) Place the compass pointer on the zero mark of the ruler.
Open it to place the pencil point upto the 8.3 cm mark.
(iii) Without changing the opening of the compass,
place the pointer on A and swing an arc to cut l at B.
(iv) AB is a line segment of required of length 8.3 cm.
(v) Place the compass pointer on the zero mark of the ruler.
Open it to place the pencil point upto 5.6 cm mark.
(vi) Withtout changing the opening of the compass,
place the pointer on A and swing ana rc to cut l at C.
(vii) AC is a line segment of length 5.6 cm.
On measurement, BC = 2.7 cm.

#### Question 8. Draw any line segment PQ. Without measure PQ, construct a copy of PQ.

(i) Given PQ whose length is not known.
(ii) Fix the compass pointer on P and the pencil end on Q.
The opening of the instrument now gives the length of PQ.
(iii) Draw any line l. Choose a point A on l.
Without changing the compass setting, place the pointer on A.
(iv) Swing an arc that cuts l at a point, say, B. Now AB is a copy of PQ.

#### Question 9. Given some line segment AB, whose length you do not know, construct PQ such that the length of PQ is twice that of AB.

(i) Given AB whose length is not known.
(ii) Fix the compass pointer on A and the pencil end on B.
The opening of the instrument now gives the length of AB.
(iii) Draw any line 1. Choose a point P on l.
Without changing the compass setting, place the pointer on P.
(iv) Strike an arc that cuts l at a point, say, X.
(v) Now fix the compass pointer on X.
Strike an arc away from P that cuts l at a point, say, Q.
Now, the length of PQ is twice that of AB.

#### Question 10. Take a line segment PQ of length 10 cm. From PQ, cut of PA of length 4.3 cm and BQ of length 2.5 cm. Measure the length of segment AB.

∴ Length of AB is 3.2 cm.

#### Question 11. Given two line segments AB and CD of length 7.5 cm and 4.6 respectively. Construct line segments.

(i) PQ of length equal to the sum of the lengths of AB and CD.
(ii) XY of length equal to the difference of the lengths of AB and CD. Verify these lengths by measurements.