Adapted from Walch Education BISECTING SEGMENTS AND ANGLES
Slide 3
1.2.2: Bisecting Segments and Angles 2 Bisecting a Segment A
segment bisector cuts a segment in half. Each half of the segment
measures exactly the same length. A point, line, ray, or segment
can bisect a segment. A point on the bisector is equidistant, or is
the same distance, from either endpoint of the segment. The point
where the segment is bisected is called the midpoint of the
segment.
Slide 4
1.2.2: Bisecting Segments and Angles 3 Bisecting a Segment
Using a Compass 1.To bisect, put the sharp point of your compass on
endpoint A. Open the compass wider than half the distance of.
2.Make a large arc intersecting. 3.Without changing your compass
setting, put the sharp point of the compass on endpoint B. Make a
second large arc. It is important that the arcs intersect each
other in two places. 4.Use your straightedge to connect the points
of intersection of the arcs. 5.Label the midpoint of the segment C.
Do not erase any of your markings. is congruent to.
Slide 5
1.2.2: Bisecting Segments and Angles 4 Bisecting a Segment
Using Patty Paper 1.Use a straightedge to construct on patty paper.
2.Fold the patty paper so point A meets point B. Be sure to crease
the paper. 3.Unfold the patty paper. 4.Use your straightedge to
mark the midpoint of. 5.Label the midpoint of the segment C. is
congruent to.
Slide 6
1.2.2: Bisecting Segments and Angles 5 Bisecting an Angle An
angle bisector cuts an angle in half. Each half of the angle has
exactly the same measure. A line or ray can bisect an angle. A
point on the bisector is equidistant, or is the same distance, from
either side of the angle.
Slide 7
1.2.2: Bisecting Segments and Angles 6 Bisecting an Angle Using
a Compass 1.To bisect A, put the sharp point of the compass on the
vertex of the angle. 2.Draw a large arc that passes through each
side of the angle. 3.Label where the arc intersects the angle as
points B and C. 4.Put the sharp point of the compass on point B.
Open the compass wider than half the distance from B to C. 5.Make a
large arc. 6.Without changing the compass setting, put the sharp
point of the compass on C. (continued) 7.Make a second large arc.
It is important that the arcs intersect each other in two places.
8.Use your straightedge to create a ray connecting the points of
intersection of the arcs with the vertex of the angle, A. 9.Label a
point, D, on the ray. Do not erase any of your markings. CAD is
congruent to BAD.
Slide 8
1.2.2: Bisecting Segments and Angles 7 Bisecting an Angle Using
Patty Paper 1.Use a straightedge to construct A on patty paper.
2.Fold the patty paper so the sides of A line up. Be sure to crease
the paper. 3.Unfold the patty paper. 4.Use your straightedge to
mark the crease line with a ray. 5.Label a point, D, on the ray.
CAD is congruent to BAD.
