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:

The standard angle bisector construction requires that after drawing the arc from B intersecting BA at D and BC at E, you use the same compass width to draw arcs from D and E (not C) inside the angle. Step 3 incorrectly uses point C instead of point E, breaking the construction rule.

Answer:

Step 3: Then, she placed the compass on point C and drew an arc on the interior of ∠ABC, which intersects the previous arc.