ML Aggarwal Class 6 Solutions Chapter 13 Practical Geometry Ex 13.1 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

## ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 13 Practical Geometry Ex 13.1

Question 1.
(i) 2 cm
(ii) 3.5 cm
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Question 2.
With the same centre O, draw two circles of radii 2.6 cm and 4.1 cm.
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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.
Solution:

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?
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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 $$\overline{\mathrm{AB}}$$ and $$\overline{\mathrm{CD}}$$ are at right angles.
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Question 6.
Construct a line segment of the length of 6.3 cm using ruler and compass.
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Question 7.
Construct $$\overline{\mathrm{AB}}$$ of length 8.3 cm. From this cut off $$\overline{\mathrm{AC}}$$ of length 5.6 cm. Measure the length of BC . .
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Question 8.
Draw any line segment $$\overline{\mathrm{PQ}}$$. Without measure $$\overline{\mathrm{PQ}}$$, construct a copy of $$\overline{\mathrm{PQ}}$$.
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Question 9.
Given some line segment $$\overline{\mathrm{AB}}$$, whose length you do not know, construct $$\overline{\mathrm{PQ}}$$ such that the length of $$\overline{\mathrm{PQ}}$$ is twice that of $$\overline{\mathrm{AB}}$$.
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Question 10.
Take a line segment $$\overline{\mathrm{PQ}}$$ of length 10 cm. From $$\overline{\mathrm{PQ}}$$, cut of $$\overline{\mathrm{PA}}$$ of length 4.3 cm and $$\overline{\mathrm{BQ}}$$ of length 2.5 cm. Measure the length of segment $$\overline{\mathrm{AB}}$$.
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Question 11.
Given two line segments $$\overline{\mathrm{AB}}$$ and $$\overline{\mathrm{CD}}$$ of length 7.5 cm and 4.6 respectively. Construct line segments.
(i) $$\overrightarrow { PQ }$$ of length equal to the sum of the lengths of $$\overline{\mathrm{AB}}$$ and $$\overline{\mathrm{CD}}$$.
(ii) $$\overline{\mathrm{XY}}$$ of length equal to the difference of the lengths of $$\overline{\mathrm{AB}}$$ and $$\overline{\mathrm{CD}}$$. Verify these lengths by measurements.
Solution: