How do you bisect an acute angle?

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Answer 1 · 2015-12-13T15:27:09

To bissect $A ˆ O B$ $A hat OB$ , we construct a rhombus $C O D E$ $CODE$ .

With a compass, draw a circle [Radius is $r$ $r$ . Center is $O$ $O$ .]

Notation: $S (O, r) = S_{1}$ $S(O, r) = S_1$ .

$S_{1} \cap O A = C; S_{1} \cap O B = D$ $S_1 cap OA = C; S_1 cap OB = D$

Then draw $S (C, r) = S_{2} and S (D, r) = S_{3}$ $S(C, r) = S_2 and S(D, r) = S_3$ .

$S_{2} \cap S_{3} = {O, E}$ $S_2 cap S_3 = {O, E}$

Draw $O E$ $OE$ .

$A ˆ O E = E ˆ O B$ $AhatOE = EhatOB$