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

Question

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.

Philoid · Accepted Answer

(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

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.

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.