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# NCERT Solutions for Class 6 Maths Exercise 5.1

NCERT solutions for Maths Understanding elementary ## NCERT Solutions for Class 6 Maths Understanding elementary

###### Question 1.What is the disadvantage in comparing line segments by mere observation?

Answer: There may be chance of error due to improper viewing.

###### Question 2.Why is it better to use a divider than a ruler, while measuring the length of a line segment?

Answer: It is better to use a divider than a ruler, because the thickness of the ruler may cause difficulties in reading off her length. However divider gives up accurate measurement.

NCERT Solutions for Class 6 Maths Exercise 5.1

###### Question 3.Draw any line segment, say {tex}\overline {{\text{AB}}} .{/tex} Take any point C lying in between A and B. Measure the lengths of AB, BC and AC. Is AB = AC + CB?
[Note: If A, B, C are any three points on a line, such that AC + CB = AB, hence we can be sure that C lies between A and B.] AB = 6.5 cm, AC = 3cm, CB = 3.5 cm

AC + CB = 3 cm + 3.5 cm = 6.5 cm = AB

###### Question 4.If A, B, C are three points on a line such that AB = 5 cm, BC = 3cm and AC = 8 cm, which one of them lies between the other two?

Answer: {tex}\overline {{\text{AC}}} {/tex} is the longest line segment, thus B is the point between A and C.

NCERT Solutions for Class 6 Maths Exercise 5.1

###### Question 5.Verify whether D is the mid-point of {tex}\overline {{\text{AG}}} .{/tex} Thus, D is the mid-point. ###### Question 6. If B is the mid-point of {tex}\overline {{\text{AC}}} {/tex} and C is the mid-point of {tex}\overline {{\text{BD}}} ,{/tex} where A, B, C, D lie on a straight line, say why AB = CD?

Answer: B is the mid-point of {tex}\overline {{\text{AC}}} {/tex}.

{tex}\therefore {/tex} AB = BC ……….(i)

And C is the mid-point of {tex}\overline {{\text{BD}}} {/tex}.

{tex}\therefore {/tex} BC = CD ……….(ii)

From eq. (i) and (ii),

AB = CD

NCERT Solutions for Class 6 Maths Exercise 5.1

###### Question 7.Draw five triangles and measure their sides. Check in each case, of the sum of the lengths of any two sides is always less than the third side.

Answer: Yes, sum of two sides of a triangle is always greater than the third side.     ## NCERT Solutions for Class 6 Maths Exercise 5.1

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