Question

Sierra used the following steps to bisect angle ABC:
1. Place the compass on point A, and swing an arc that intersects rays BA and BC.
2. Label the intersection of the arc on ray BA with point D and the intersection of the arc with ray BC with point E.
3. Place the compass on point D, and draw an arc inside the angle.
4. Keeping the same compass width, place the compass on point E and draw an arc inside the angle the intersects the previous arc.
5. Label the intersection of the arcs created from polnts D and E with point F.
6. Draw a ray from point B through point
In which step did her error occur? Explain. (1 point)
O Step 1. She did not start at the correct point.
Step 1. She did not set the proper compass length.
Step 4. She drew an arc instead of a circle.
Step 4. She moved the compass to a different point.

Answer 1

An angle bisector bisects (divides) an angle into two

The option that gives the step where her error occurs is the step 1

Step 1. She did not start at the correct point

Reason:

To bisect an angle, the compass point is placed at the vertex of the angle, which is the point where the two rays meet

When naming an angle, the vertex point is the middle letter

The vertex of the angle ABC, is the point B

Therefore, Sierra should start by placing the compass on point B, and swing the arcs that intersects rays BA and BC

The correct option is; Step 1. She did not start at the correct point

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