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:

We will use the concept of angles to solve this.

(a) Yes, CE = EG
Since, CE = 2 units and EG = 2 units
Hence, CE = EG.

(b) Yes, PE bisects CG, because CE = EG.

(c) The two line segments for which PE is perpendicular bisector are: BG and DF

(d) Yes, all three points are true
Since, AC = 2 units and FG = 1 units
CD = 1 units and GH = 1 units
BC = 1 units and EH = 3 units.
Hence, AC > FG, CD = GH, BC < EH.

NCERT Solutions for Class 6 Maths Chapter 5 Exercise 5.5 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

Summary:

(a) CE is equal to EG since both of them are equal to 2 units. (b) PE bisects CG. (c) The two-line segments for which PE is perpendicular bisector are BG and DF. (d) AC > FG, CD = GH and BC < EH are true statements.

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