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


(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.


(a) Yes CE = EG as both have same distance of 2 units from the intersecting point.nee


(b) Yes PE bisect CG as E is the mid-point of CG and PE divides the line into two equal parts which is CE = EG.


(c) The two line segments can be BH and CG.


(d) (i) AC > FG – True


As length of AC = 2 units


Length of FG = 1 unit


(ii) CD = GH – True


As both have same length of 1 unit.


(iii) BC < EH – True


As the length of BC = 1 unit


Length of EH = 3 units


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