NCERT Solutions For Class 6 Maths Understanding Elementary Shapes Ex 5.5

ncert textbook

Created with Sketch.

NCERT Solutions For Class 6 Maths Understanding Elementary Shapes Ex 5.5

NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes Ex 5.5

Exercise 5.5

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 two line segments of‘L’ are the model for perpendicular lines.
(d) No, the two line segments of ‘V’ are not a model for perpendicular lines.

Question 2.
Let \overline { PQ }be the perpendicular to the line segment \overline { XY }. Let \overline { PQ }and \overline { XY }intersect at in the point A. What is the measure of ∠PAY?
Solution:
Since \overline { PQ }⊥ XY
∴ ∠PAY = 90°
NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes

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 are given below:
NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes
The measure angles of triangle (a) are : 30°, 60° and 90°.
The measure angles of triangle (b) are 45°, 45° and 90°.
Yes, they have a common angle of measure 90°.

Question 4.
Study the diagram. The line l is perpendicular to line m.
(a) Is CE = EG?
(b) Does PE bisects CG?
NCERT Solutions For Class 6 Maths Chapter 5 Understanding Elementary Shapes
(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
(c) Required line segments for which PE is perpendicular bisector are: \overline { BG }and \overline { DF }
(d) (i) True (ii) True (iii) True

NCERT-Solutions-For-Class-6-Maths-understanding-Elementary-Shapes-Exercise-5.5-01
NCERT-Solutions-For-Class-6-Maths-understanding-Elementary-Shapes-Exercise-5.5-02
NCERT-Solutions-For-Class-6-Maths-understanding-Elementary-Shapes-Exercise-5.5-03

Leave a Reply

Your email address will not be published. Required fields are marked *