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Bisect Angle Help
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last edited
by LFS 14 years, 2 months ago
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
a=Segment[A,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. |
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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.) |
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Draw circle with radius AC and center at A by clicking A, C and then A. |
Circle c=Circle[A, Segment[A, C] |
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Draw point D by clicking on intersection point of circle c and segment a.
Points C and D should be equally distant from A
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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] |
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Draw point E on segment d which is more than halfway across CD. |
E=Point[d]. |
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Draw circle with radius CE and center C by clicking on points C, E and C. |
Circle e=Circle[C, Segment[C, E] |
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Draw circle with radius CE and center D by clicking on points C, E and C. |
Circle f=Circle[D, Segment[C, E] |
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Draw point F by clicking on either intersection point of circles e and f
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F=Intersect[e, f, 2]. |
Draw the angle bisector. |
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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. |
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Draw angle marker by clicking on points D, A and F. |
Angle β=Angle[D, A, F] |
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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. |
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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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