Question
Construct an angle of 90° and bisect it.
✓
Answer
Construction steps:
- Draw a line OA.
- Take a point B on OA. With B as the centre and any convenient radius, draw an arc cutting OA at M and N.
- With N as the centre and radius more than half of MN, draw an arc.
- With M as the centre and the same radius as before, draw another arc to cut the previous arc at W.
- Draw WB, meeting the arc at S. Produce it to C.
- With S as the centre and radius more than half of SN, draw an arc.
- With N as centre and the same radius as in step (6), draw another arc, cutting the previously drawn arc at point X.
- Draw BX and produce it to point D. Ray BD is the angle bisctor of $\angle\text{ABC}.$ Ray BD is the angle bisctor of $\angle\text{ABC}.$ Ray BD is the angl bisctor of $\angle\text{ABC}.$ Ray BD is the angle bisctor of $\angle\text{ABC}.$
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