Google Classroom
GeoGebraGeoGebra Classroom

Construct Angle Bisectors - Miller

Follow these steps to bisect an angle:

1) Using the POINT TOOL, mark a point D on segment AB (about halfway between A and B). 2) Using the COMPASS TOOL, create a circle with radius AD and center point A. (Select point D, then select point A, then click on point A again.) 3) Using the POINT TOOL, mark a point F where circle A intersects segment AC. 4) Using the COMPASS TOOL, create a circle with the radius DF and center point D. (Select point F, then select point D, then click on point D again.) 2) Using the COMPASS TOOL, create a circle with the radius DF and center point F. (Select point D, then select point F, then click on point F again.) 3) Using the SEGMENT TOOL, draw a segment from point A to the intersection of circles D and F. (The point will be labeled G.) RESULT: Segment AG is the Angle Bisector of angle CAB. (Segment AG divides the angle CAB in HALF, so that the two angles, CAG and GAB have the SAME MEASURE. They are CONGRUENT angles.)

Click the link below to return to the assignment page.