EM-2041

Perpendicular and angle bisectors

E Math · Secondary 4 · Medium · Perpendicular and angle bisectors

You want to construct an angle of

45^\circ

at a point

O

on a line using only a compass and straightedge. Which construction method correctly uses an angle bisector?

Construct a right angle of $90^\circ$ at $O$ , then bisect it to get $45^\circ$ .
Construct an angle of $60^\circ$ at $O$ , then bisect it to get $45^\circ$ .
Construct any acute angle at $O$ and call it $45^\circ$ .
Construct a straight angle of $180^\circ$ at $O$ , then bisect it to get $45^\circ$ .

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