Select the correct step in the table.

Question

Select the correct step in the table.

Nikita began with the figure shown.

Two straight lines A B, B C intersecting at B in an angle.

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.

Answer 1

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

Answer 2

Nikita's mistake was made in Step 3. In this step, she placed the compass on point C and drew an arc on the interior of ∠ABC, which intersects the previous arc. However, the correct step would be to place the compass on point E (the intersection point of the first arc and ray BC) and draw an arc which intersects the previous arc. This will ensure that the two arcs intersect at a point inside the angle, which is necessary to construct the angle bisector correctly.

Answer 3

Select the correct step in the table.

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

The mistake was made in Step 3: She placed the compass on point C and drew an arc on the interior of ∠ABC, which intersects the previous arc.