Question

select the correct step in the table. nikita began with the figure shown. she completed the following actions to construct the angle bisector of ∠abc, but made a mistake in one of the steps. select the step in which her mistake was made. step 1: she placed the compass on point b and drew an arc which intersects ray ba at point d and ray bc at point e. step 2: next, she placed the compass on point d and drew an arc on the interior of ∠abc. step 3: then, she placed the compass on point c and drew an arc on the interior of ∠abc, which intersects the previous arc. step 4: she labeled the intersection of the two arcs as point f and drew the ray bf, which represents the angle bisector of ∠abc.

Explanation:

Step1: Recall angle - bisector construction steps

The first step in constructing the angle bisector of ∠ABC should be placing the compass on the vertex B.

Step2: Analyze given steps

In the given steps, step 1 starts by placing the compass on point B which is correct for the first step of angle - bisector construction. But step 2 has an error. After the first arc is drawn intersecting BA and BC, the next step should be to place the compass on one of the intersection points (D or E) of the first arc and the rays of the angle, not on an arbitrary point D inside the angle.

Answer:

Step 2