- NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.1
- NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.2
- NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.3
- NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.4
- NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.5
- NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.6
- NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.7
- NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.8
NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.5 (Rationalised Contents)
Ex 5.5 Class 6 Maths Question 1.
Which of the following are models for perpendicular lines:(a) The adjacent edges of a table top.
(b) The lines of a railway track.
(c) The line segments forming a letter ‘L’.
(d) The letter V.
Solution:
(a) Yes, the adjacent edges of a table top are the
models of perpendicular lines.
(b) No, the lines of a railway tracks are parallel to each other. So, they are
not a model for perpendicular lines.
(c) Yes, the line segments forming the letter ‘L’ are the model for
perpendicular lines.
(d) No, the line segments forming the letter ‘V’ are not a model for
perpendicular lines.
Ex 5.5 Class 6 Maths Question 2.
Let PQ be the perpendicular to the line segment XY. Let PQ and XY intersect in the point A. What is the measure of ∠PAY?Solution:
Since PQ ⊥ XY.
∴ ∠PAY = 90°
Ex 5.5 Class 6 Maths Question 3.
There are two set-squares in your box. What are the measures of the angles that are formed at their corners? Do they have any angle measure that is common?Solution:
The figures of the two set-squares in all geometry
boxes are given below:
The measure of angles of set-square (b) are: 45°, 45° and 90°.
Yes, they have a common angle of measure 90°.
Ex 5.5 Class 6 Maths Question 4.
Study the diagram. The line l is perpendicular to line m.
(a)
Is CE = EG?
(b) Does PE bisects CG?
(c) Identify any two line segments for which PE is the perpendicular bisector.
(d) Are these true?
(i) AC > FG
(ii) CD = GH
(iii) BC < EH
Solution:
(a) Yes.
Since, CE = 2 units and EG = 2 units
Hence, CE = EG.
(b) Yes, PE bisects CG because E is the mid-point of CG.
(c) The line segments for which PE is the perpendicular bisector are: DF and BH.
(d) (i) True (ii) True (iii) True
Related Links:
NCERT Solutions for Maths Class 7
NCERT Solutions for Maths Class 8
NCERT Solutions for Maths Class 9
NCERT Solutions for Maths Class 10