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Objective: 1) T o use a compass and a straightedge to bisect segments and angles.

Ch 1.7 Standard 16.0: Students perform basic constructions with a straightedge and compass, such as angle bisectors and perpendicular bisectors. . Objective: 1) T o use a compass and a straightedge to bisect segments and angles. Perpendicular Bisector. Definition:.

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Objective: 1) T o use a compass and a straightedge to bisect segments and angles.

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  1. Ch 1.7Standard 16.0: Students perform basic constructions with a straightedge and compass, such as angle bisectors and perpendicular bisectors. Objective: 1) To use a compass and a straightedge to bisect segments and angles.

  2. Perpendicular Bisector Definition: The perpendicular bisectorof a segment is a line perpendicular to a segment at the segment’s midpoint. p is a perpendicular bisector ofq thus forming a 90° angle.

  3. Perpendicular Bisector (con’t) Construction: http://www.glencoe.com/sites/common_assets/mathematics/geom_2010/math_in_motion/animations/GEOCIM1-5.swf Step by Step Instructions: Given segment AB Place the compass point on point A and draw a long arc through the segment (greater than half way). Place the compass point on point B. Using the same setting as Step 1, draw a long arc through the segment. The intersected arcs will create two points. Draw a line through them.

  4. Angle Bisector An angle bisector is a ray that divides an angle into two congruent angles. Definition: JK bisects LJM; thus LJKKJM.

  5. Angle Bisector (con’t) Construction: http://www.glencoe.com/sites/common_assets/mathematics/geom_2010/math_in_motion/animations/MIM_geo_4-4.swf Step by Step Instructions: Given angle A Place the compass point on vertex A and draw an arc passing through both sides of the angle. Label the intersections as points B and C. Place the compass point on point B and draw an arc on the “inside” of the angle. Place the compass point on point C. Using the same setting as Step 2, draw an arc on the “inside” of the angle. The intersected arcs will create a point. Label this point E. Draw a line through point E and vertex A.

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