Question

which construction is the student trying to create?
○ the angle bisector
○ a congruent angle
○ a congruent line segment
○ the perpendicular bisector

Explanation:

The construction shown is creating a congruent angle. When constructing a congruent angle, we use arcs (as seen in the diagram) to replicate the measure of the original angle. A congruent angle has the same measure as the original angle. An angle bisector would divide an angle into two equal - parts (not shown here). A congruent line segment would focus on length (not angle measure). A perpendicular bisector is for a line segment (not relevant to angle construction).

Answer:

a congruent angle