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Bisect Angle Help
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last edited
by LFS 10 years, 2 months ago
Home > Construct with GeoGebra > Compass and Straightedge > #6 Bisect Angle > HELP
Do the givens. An angle.


Draw base of angle by clicking twice in drawing pad. (You can use ray tool.) 
Point A
Point B
a=Segment[A,B]


Draw top of angle by clicking once on first point A and then above the base. (You can use ray tool.) 
Point C
b=Segment[A,C]

Label: Use rightclick to hide/show labels on endpoints and segment. 

Draw angle marker by clicking on points B, A and C. 
Angle α=Angle[B, A, C] 
Decorate: Rightclick on angle, choose "Properties", basic tab: Show Label=Name, style tab: size=50. Click on Close. 
Draw point on each angle leg equally distant from angle vertex. (We assume C is closer to A than B is to A  else use B in place of C.) 

Draw circle with radius AC and center at A by clicking A, C and then A. 
Circle c=Circle[A, Segment[A, C] 

Draw point D by clicking on intersection point of circle c and segment a.
Points C and D should be equally distant from A

D=Intersect[c, d, 2]. 
Find the midpoint of segment CD.


Draw segment CD by clicking on points C and D. 
d=Segment[C, D] 

Draw point E on segment d which is more than halfway across CD. 
E=Point[d]. 

Draw circle with radius CE and center C by clicking on points C, E and C. 
Circle e=Circle[C, Segment[C, E] 

Draw circle with radius CE and center D by clicking on points C, E and C. 
Circle f=Circle[D, Segment[C, E] 

Draw point F by clicking on either intersection point of circles e and f

F=Intersect[e, f, 2]. 
Draw the angle bisector. 

Draw segment from A through F by clicking on A and F. (You can use ray tool.) 
g=Segment[A,F] 
Decorate: Rightclick on point g , choose "Properties", change the color of g to purple. Click on Close. 
Draw the angle markers. 

Draw angle marker by clicking on points D, A and F. 
Angle β=Angle[D, A, F] 

Draw angle marker by clicking on points F, A and C. 
Angle γ=Angle[F, A, C] 
Decorate: Rightclick on angle β and γ, choose "Properties", basic tab: Show Label=Name, color tab: purple, style tab: size=100, decoration tab: single slash. Click on Close. 
Check construction. 

Click and drag points A, B, or C to change angle. 
Angle should always be bisected. 
Save construction. Command: File > Save. 
geometric, construct, construction, straightedge, compass, ruler, geogebra, application, geometry, program
Bisect Angle Help

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