Mathematics Class 6 NCERT Solutions: Chapter 5 Understanding Elementary Shapes Exercise 5.1

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

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

Q.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.

Q.3 Draw any line segment, say . Take any point C lying in between A and B. Measure the lengths of AB, BC and AC. Is ?

[Note: If A, B, C are any three points on a line, such that , then we can be sure that C lies between A and B.]

Answer: yes

Image of Three Points Line

Image of Three Points Line

Image of Three Points Line

Q.4 If A, B, C are three points on a line such that , which one of them lies between the other two?

Answer: is the longest line segment, thus B is the point between A and C.

Q.5 Verify whether is the mid-point of .

Image of verify D is the mid-point of AG

Image of Verify D is the Mid-Point of AG

Image of verify D is the mid-point of AG

Answer:

Answered Image of verify D is the mid-point of AG

Answered Image of Verify D is the Mid-Point of AG

Answered Image of verify D is the mid-point of AG

AD = DG.

Thus, D is the mid-point.

Q.6 If B is the mid-point of and C is the mid-point of , where A, B, C, D lie on a straight line, say why AB = CD?

Answer:

B is the mid-point of .

AB = BC ... (i)

And C is the mid-point of .

BC = CD ... (ii)

From equation (i) and (ii), we get

AB = CD

Q.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.

Image of Three Triangles Measure Their Sides

Image of Three Triangles Measure Their Sides

Image of Three Triangles Measure Their Sides

Image of Two Triangles Measure Their Sides

Image of Two Triangles Measure Their Sides

Image of Two Triangles Measure Their Sides