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 points d and e with point f.
6. draw a ray from point b through point f.

in which step did her error occur? explain.
o a step 1. she did not start at the correct point.
o b step 1. she did not set the proper compass length.
o c step 4. she drew an arc instead of a circle.
o d step 4. she moved the compass to a different point.

Explanation:

To bisect an angle, the compass should be placed on the vertex of the angle (point B in this case) when starting the process. In step 1, Sierra placed the compass on point A instead of point B. This is incorrect as the vertex of angle \(ABC\) is \(B\), not \(A\).

Answer:

a. Step 1. She did not start at the correct point.