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Questions and Solutions for NCERT Class 6th Mathematics Chapter 5 – Understanding Elementary Shapes – Exercise 5.1
1. What is the disadvantage in comparing line segments by mere observation?
Ans: There may be error in comparing due to improper viewing.
2. Why is it better to use a divider than a ruler, while measuring the length of a line segment?
Ans: A ruler and a divider can be used to measure the length of a line segment. But, it is better to use a divider for an accurate measure. The thickness of the ruler and the positioning of the eye may cause difficulties in reading the correct measure.
3. Draw any line segment, say AB. 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, then we can be sure that C lies between A and B.]
Sol:
AB = 7 cm
AC = 5.5 cm
CB = 1.5 cm
AB = AC + CB
This is because C lies between A and B.
4. If A,B,C are three points on a line such that AB = 5 cm, BC = 3 cm and AC = 8 cm, which one of them lies between the other two?
Ans: Since AC is the longest line segment, therefore B lies between A and C.
5. Verify, whether D is the mid point of AG .
Sol: Measure of line segment AD = 3 units
Measure of line segment DG = 3 units
Since AD = DG
Therefore D is the mid-point of AG.
6. If B is the mid point of AC and C is the mid point of BD, where A,B,C,D lie on a straight line, say why AB = CD?
Sol: B is the mid point of AC
AB = BC —-(i)
C is the mid point of BD
BC = CD —-(ii)
From equation (i) and (ii)
AB = CD
7. Draw five triangles and measure their sides. Check in each case, if the sum of the lengths of any two sides is always less than the third side.
Ans:
Yes, the sum of the lengths of any two sides is always greater than the third side.
You can find the solutions for Class 6 Mathematics previous exercises from here
- Basic Geometrical Ideas – Exercise 4.6 Solutions
- Basic Geometrical Ideas – Exercise 4.5 Solutions
- Basic Geometrical Ideas – Exercise 4.4 Solutions
- Basic Geometrical Ideas – Exercise 4.3 Solutions
- Basic Geometrical Ideas – Exercise 4.2 Solutions
- Basic Geometrical Ideas – Exercise 4.1 Solutions
- Playing with Numbers – Exercise 3.7 Solutions
- Playing with Numbers – Exercise 3.6 Solutions
- Playing with Numbers – Exercise 3.5 Solutions
- Playing with Numbers – Exercise 3.4 Solutions
- Playing with Numbers – Exercise 3.3 Solutions
- Playing with Numbers – Exercise 3.2 Solutions
- Playing with Numbers – Exercise 3.1 Solutions
- Whole Numbers – Exercise 2.3 Solutions
- Whole Numbers – Exercise 2.2 Solutions
- Whole Numbers – Exercise 2.1 Solutions
- Knowing Our Numbers Solutions Exercise 1.3 Solutions
- Knowing Our Numbers Solutions Exercise 1.2 Solutions
- Knowing Our Numbers Solutions Exercise 1.1 Solutions
