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On January 25, 2024, 11:35 AM

Exercise 5.5 - Chapter 5 Understanding elementary shapes class 6 ncert solutions Maths - SaraNextGen [2024]


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 the letter ’L’

(d) The letter V.

Answer:

(a) The adjacent edges of a table top are perpendicular to each other.

(b) The lines of a railway track are parallel to each other.

(c) The line segments forming the letter ’L’ are perpendicular to each other.

(d) The sides of letter V are inclined at some acute angle on each other.

Hence, (a) and (c) are the models for perpendicular lines.

Question 2:

Let https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/5/1879/Exercise%20-%205_html_651ea87f.gif be the perpendicular to the line segmenthttps://img-nm.mnimgs.com/img/study_content/curr/1/6/1/5/1879/Exercise%20-%205_html_m4bd03804.gif . Let https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/5/1879/Exercise%20-%205_html_651ea87f.gif and https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/5/1879/Exercise%20-%205_html_m4bd03804.gif intersect in the point A. What is the measure of ∠PAY?

Answer:

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/5/1879/Exercise%20-%205_html_m608b0009.jpg

From the figure, it can be easily observed that the measure of ∠PAY is 90°.

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?

Answer:

One has a measure of 90°, 45°, 45°.

Other has a measure of 90°, 30°, 60°.

Therefore, the angle of 90° measure is common between them.

Question 4:

Study the diagram. The line l is perpendicular to line m.

https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/5/1884/Exercise%20-%205_html_m24e0610c.jpg

(a) Is CE = EG?

(b) Does PE bisect 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.

Answer:

(a) Yes. As CE = EG = 2 units

(b) Yes. PE bisects CG since CE = EG.

(c) https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/5/1884/Exercise%20-%205_html_6bf7ce62.gif  and https://img-nm.mnimgs.com/img/study_content/curr/1/6/1/5/1884/Exercise%20-%205_html_m7547839c.gif

(d) (i) True. As length of AC and FG are of 2 units and 1 unit respectively.

(ii) True. As both have 1 unit length.

(iii) True. As the length of BC and EH are of 1 unit and 3 units respectively.

Also Read : Exercise-5.6-Chapter-5-Understanding-elementary-shapes-class-6-ncert-solutions-Maths

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