Question

consider the diagram.
which construction does the diagram model?

• angle bisector
• duplication of an angle
• midpoint
• perpendicular bisector

Explanation:

The diagram shows the steps of constructing an angle bisector: an arc is drawn from the vertex \( C \), intersecting the two sides of the angle at \( A \) and \( B \), then an arc from \( D \) (with the same radius as the first arc) is part of the angle - bisecting construction. The angle bisector construction involves creating a line that splits an angle into two equal parts, which matches the diagram's elements. The midpoint construction is for segments, the perpendicular bisector is for segments too, and duplication of an angle has a different construction process.

Answer:

A. Angle bisector