Question

Sawyer is writing a proof for his construction of an angle bisector. Which statement is missing from his plan?

a) Lines a and b extend from point h.
b) An arc goes from a to b.
c) Line l extends from point h.
d) The radii of the constructed arc are of the same length.

Answer 1

The missing statement from Sawyer's proof plan for constructing an angle bisector is that the radii of the constructed arc are of the same length. This ensures accurate bisecting of the angle.

Step-by-step explanation:

The question pertains to the process of constructing an angle bisector in geometry. When constructing an angle bisector, it is crucial to have the radii of the constructed arcs be of the same length to ensure that the arcs intersect at the correct points, which allows for the angle to be divided into two equal parts. Therefore, the missing statement from Sawyer's proof plan for an angle bisector construction is:

d) The radii of the constructed arc are of the same length.

This ensures that the arcs will intersect at a point that is equidistant from the sides of the angle, thus bisecting the angle accurately.