4. 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.

                

Answers (1)

(a) CE = 5 - 3 = 2 units

     EG = 7 - 5 = 2 units    

     Therefore CE = EG.

(b) CE = EG therefore PE bisects CG.

(c) PE is the perpendicular bisector for line segments DF and BH

(d) (i) AC = 3 - 1 = 2 units

         FG = 7 - 6 = 1 unit

           Therefore AC > FG

            True

    (ii) CD = 4 - 3 = 1 unit

         GH = 8 - 7 = 1 unit

          Therefore CD = GH

          True    

    (iii) BC = 3 - 2 = 1 unit

          EH = 8 - 5 = 3 units

           Therefore BC < EH

            True 

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