Understanding Elementary Shapes Class 6 Ex. 5.5
New Ncert Class 6 Math Free Solution.
Question 1 :- Which of the following are the 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.
(b) Not perpendicular, railroad tracks have parallel lines running through them. They do not serve as a model for perpendicular lines, therefore.
(d) Not perpendicular.
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?
Since PQ ⊥ XY
∠PAY = 90°
Question 3 :- There are the 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?
The figures for the two set-squares are shown below:
Triangle (a) has measure angles of 30, 60, and 90 degrees.
The measure angles of triangle (b) are 45°, 45° and 90°.
They do have a common angle of 90 degrees.
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
Since CE and EG both equal two units,
Hence, CE = EG.
(b) Yes, PE bisects CG
(c) Required line segments for which PE is perpendicular bisector are: BH and DF.
(d) (i) True
Free Understanding Elementary Shapes Class 6 Exercise. 5.5 for Free (2023-24).