This way of bisecting an angle is less common, but it is worth knowing how to do it. This time, we will bisect an obtuse angle.
Start with an angle named with 3 points such as angle EFG.
Step 1:
Choose a point on EF and call it H. Then, choose a point on FG, call it I, and make sure that FH = FI.
To ensure that FH = FI, you need to use your compass, measure the length of FH, and use the same length for FI.
Step 2:
Draw segment HI.
Step 3:
Using HI as one of the three sides of an equilateral triangle, construct an equilateral triangle.
Step 4:
Using your compass, measure the length of HI.
Step 5:
Keeping your compass opening the same, put the needle of the compass at H and draw an arc. Then, still using the same opening, put the needle of the compass at I and draw an arc.
Call the point of intersection of the arcs k and you should end up with the following figure.
Step 5:
Using your straightedge, draw triangle HKI.
Step 6:
Finally draw segment FK. FK is the angle bisector of angle EFG.
Jan 20, 20 03:17 PM
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