Understanding elementary shapes Ex-5.1

NCERT solutions for Maths Understanding elementary

NCERT Solutions for Class 6 Maths Exercise 5.1

NCERT Solutions for Class 6 Maths Understanding elementary

Class –VI

Mathematics

(Ex. 5.1)

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 $\overline {{\text{AB}}} .$ 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, hence we can be sure that C lies between A and B.]

Answer: Yes.

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: $\overline {{\text{AC}}}$ 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 $\overline {{\text{AG}}} .$

Answer: AD = 3 units, DG = 3 units

AD = DG.

Thus, D is the mid-point.

Question 6. If B is the mid-point of $\overline {{\text{AC}}}$ and C is the mid-point of $\overline {{\text{BD}}} ,$ where A, B, C, D lie on a straight line, say why AB = CD?

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

$\therefore$ AB = BC ……….(i)

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

$\therefore$ 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.

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Understanding elementary shapes Ex-5.1

NCERT Solutions for Class 6 Maths Understanding elementary

Class –VI

Mathematics

(Ex. 5.1)

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

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

Question 3.Draw any line segment, say AB‾.\overline {{\text{AB}}} .AB. Take any point C lying in between A and B. Measure the lengths of AB, BC and AC. Is AB = AC + CB?

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?

Question 5.Verify whether D is the mid-point of AG‾.\overline {{\text{AG}}} .AG.

Question 6. If B is the mid-point of AC‾\overline {{\text{AC}}}AC and C is the mid-point of BD‾,\overline {{\text{BD}}} ,BD, where A, B, C, D lie on a straight line, say why AB = CD?

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.

Question 3.Draw any line segment, say $\overline {{\text{AB}}} .$ Take any point C lying in between A and B. Measure the lengths of AB, BC and AC. Is AB = AC + CB?

Question 5.Verify whether D is the mid-point of $\overline {{\text{AG}}} .$

Question 6. If B is the mid-point of $\overline {{\text{AC}}}$ and C is the mid-point of $\overline {{\text{BD}}} ,$ where A, B, C, D lie on a straight line, say why AB = CD?