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This is one way to bisect
on angle of 60°.Th_. I
Draw an angle ~.ti,.,
of60°. %,..t;
-...t
Using centres C and D, draw 2 ores.
Join the intersection of the ores to C and D.
With B and C as centres,
use the some radius
0
~ i~:~r~ecti~g 1'
ores. · Q
A ·- c -- *
Drow o .·line ./ -k' / Add more lines or circles if you wont.
~~~h~w~~ Decorate your pattern.
A ~~~
e / --l. 18~
Check that
:::;,::".~\:: ~1'
CHALLENGE
Find a way to bisect reflex angles.
m
rn Practical: draw a circle pattern using bisected angles.
Practical: draw two acute and two a 24° b 43° c 55° d 78°
obtuse angles, and bisect them.
Practical: show how to construct
Practical: draw and bisect angles pairs of bisected angles of these
of these sizes. sizes.
a 48° b 86° c 110° d 156° a 26° c 67° d 82°
This is done by drawing and
bisecting angles of these sizes.
a 52° b 78° c 134° d 164°
Challenge
Open: find a way to bisect reflex angles.
One way is to use the conjugate angle: by bisecting the conjugate angle
and extending the bisected line back through the vertex.