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In the construction of perpendicular bisector, R
(a) if the distance measured on the compasses is less than half the length
of PQ, what will happen? Discuss. Q
(b) is the perpendicular bisector of PQ, which is RS, the axis of symmetry P
of triangle PQR? Discuss and explain. S
(iii) Perpendicular line to a straight line
4
If a line is perpendicular
Using only a pair of compasses and a ruler, construct the to line PQ, then the
perpendicular line from point M to the straight line PQ. line is known as
perpendicular line to
M line PQ.
Q
P
Referring to the
M construction of a
perpendicular line in
3 Example 4, what is the
CHAPTER
8 S relationship between the
R 1 Q construction methods of
P 1 a perpendicular line and
a perpendicular bisector?
2
1 With the same distance on 2 With the same distance 3 Draw a line joining M and
the compasses from M, on the compasses from the point of intersection of
construct two arcs from M R and from S, construct the arcs.
intersecting PQ. Label the an arc from R and from S
two points of intersection respectively so that the
as R and S. arcs intersect.
Scan the QR Code or visit https://youtu.be/Raz8EGk4x0Y to watch the video of the
construction of a perpendicular line to a straight line passing through a point. Then,
explain the rationale of the construction steps.
178
Chapter 8
08 TB Math F1.indd 178 11/10/16 12:17 PM