Page 157 - IM_FL_Geometry_Print Sample

a. Mark a point on segment that is closer to sides and than it is to side (think of a grain of salt that would not fall o towards side ).
b. Mark another point on segment that is closer to side than it is to sides
and (think of a grain of salt that would fall o towards side 2. Angle is bisected by segment . The intersection of segments
marked as point .
).
and is
a. Mark a point on segment that is closer to sides and (think of a grain of salt that would not fall o towards side ).
than it is to side
b. Mark a point on segment that is closer to side than it is to sides (think of a grain of salt that would fall o towards side ).
and
3. Explain why the angle bisector of angle bisectors at the same point .
Student Response
must also intersect the other angle
1. Answers vary.
a. Students should mark a point on segment that is close to vertex .
b. Students should mark a point on segment close to point .
2. Answers vary.
a. Students should mark a point on segment .
b. Students should mark a point on segment
.
3. All three angle bisectors must coincide at point . Since point lies on the segment
the same distance to sides and . Because it lies on segment it is the same distance to sides and . That means point must be the same distance to sides and and therefore it must lie on the angle bisector of .
, it is
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Teacher Guide