David is performing the following construction. Based on the markings that are present, what construction is he performing?

Answer:

He is dividing the angle BAC into two equal parts.

Step-by-step explanation:

Initially, he places the compass at point A and draws two small arcs intersecting points D and E. Next, setting the compass at D and then at E, he draws two arcs that intersect between the line segments AB and AC.

The bisecting line is drawn from point A through the intersection of these arcs.

Answer:

Dividing an angle into two equal halves

Step-by-step explanation:

David starts by drawing angle CAB as shown in .

He then draws an arc cutting the sides AC at point D and AB at point E.

With center at E, an arc is drawn, followed by another arc with center at D.

The two arcs intersect at a certain point.

Connecting point A to this intersection yields the angle bisector of .

Hence, by observing the markings, he is effectively bisecting the angle.

An angle bisector is a line or segment that splits an angle into two equal angles.