Question

which of the following constructions is illustrated? the bisector of a given angle; the bisector of a given segment; an angle is congruent to a given angle; the perpendicular bisector of a given segment.

Explanation:

The diagram shows an angle with a construction that splits it into two equal parts, which is the definition of an angle bisector. The other options relate to segments (bisecting a segment or its perpendicular bisector) or copying an angle, but the image depicts the division of an angle, so it's the bisector of a given angle.

Answer:

The bisector of a given angle