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Bisect Angle Help

Page history last edited by LFS 10 years, 8 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 right-click 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: Right-click 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: Right-click 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: Right-click 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.

 

Home > Construct with GeoGebra -> Compass and Straightedge -> #6 Bisect Angle -> HELP

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