AP 6th Class Maths 5th Chapter Understanding Elementary Shapes Exercise 5.5 Solutions

Well-designed AP 6th Class Maths Textbook Solutions Chapter 5 Understanding Elementary Shapes Exercise 5.5 offers step-by-step explanations to help students understand problem-solving strategies.

Understanding Elementary Shapes Class 6 Exercise 5.5 Solutions – 6th Class Maths 5.5 Exercise Solutions

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.
Elementary Shapes
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 \(\overline{\mathrm{PQ}})\) be the perpendicular to the line segment \(\overline{\mathrm{XY}})\). Let \(\overline{\mathrm{PQ}})\) and \(\overline{\mathrm{XY}})\) intersect in the point A. What is the measure of ∠PAY?
Solution:
Since \(\overline{\mathrm{PQ}})\) ⊥ \(\overline{\mathrm{XY}})\)
AP 6th Class Maths 5th Chapter Understanding Elementary Shapes Exercise 5.5 Solutions Img 1
∴ ∠PAY = 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?
Solution:
The figures of the two set – squares are given below:
AP 6th Class Maths 5th Chapter Understanding Elementary Shapes Exercise 5.5 Solutions Img 2
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°

AP 6th Class Maths 5th Chapter Understanding Elementary Shapes Exercise 5.5 Solutions

Question 4.
Study the diagram. The line l is perpendicular to line m
a) Is CE = EG ?
AP 6th Class Maths 5th Chapter Understanding Elementary Shapes Exercise 5.5 Solutions Img 3
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
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: \(\overline{\mathrm{BH}})\) and \(\overline{\mathrm{DF}})\)
d) i) True
ii) True
iii) True

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