Home > Construct with GeoGebra -> Compass and Straightedge -> #6 Bisect Angle -> HELP
Do the givens. An angle. |
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Draw base of angle by clicking twice in drawing pad. (You can use ray tool.) | Point A
Point B |
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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] |
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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] | |
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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. |
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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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