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# Bisect Angle Help

last edited by 10 years, 8 months ago

 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.

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