# 4. Study the diagram. The line is perpendicular to line (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) 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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