Examine the two angle bisector constructions.
example a: a construction of angle abc. there is an arc drawn from the vertex b that creates points a and c. the points are the same distance from the vertex. point d has been created from intersecting arcs that are the same distance from points a and c. a line has been drawn from point b through point d.
example b: a construction of angle abc. there is an arc drawn from the vertex b that creates point a. another arc from the vertex b creates point c. points a and c are not the same distance from point b. point d has been created from intersecting arcs constructed from points a and c. a line has been drawn from point b through point d.
1. which angle bisector was created by following the construction steps correctly? how do you know?
2. which angle bisector was constructed incorrectly? explain the step that was completed incorrectly.
3. two students created a list of steps for the following construction. which student has steps in the correct order, and which does not? explain.