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(iv) Parallel lines
6
Lines that will never
Using only a pair of compasses and a ruler, construct the line meet even when they
that is parallel to PQ passing through point R. are extended are known
R as parallel lines.

Q
P Explain how the
construction of
parallel lines relates
to the construction of

3 parallelogram PQSR. S

1 R 4 2 R

P Q

Q
P
CHAPTER
8

1 With the distance 2 Keeping the 3 With the distance 4 Draw a line joining
on the compasses same distance on on the compasses R and the point
equals to the the compasses, equals to the of intersection
length of PR, construct an arc length of PQ, constructed in
construct an arc from Q. construct an arc Step 3.
from P passing from R intersecting
through R. the arc constructed
in Step 2.

Scan the QR Code or visit Scan the QR Code or visit https://
https://youtu.be/ youtu.be/J8Im4Rz5poc to watch
Xwa44YIHcCg to watch the the video of the construction of
video of the construction parallel lines using a set square.
of parallel lines. Then, Hence, construct the parallel lines
explain the rationale of the in Example 6 by using only a set
construction steps. square and a ruler.

180
Chapter 8

08 TB Math F1.indd 180 11/10/16 12:17 PM