Question

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

Answer 1

Answer:

He is bisecting the angle BAC.

Step-by-step explanation:

First he puts the compass point at point A and draws 2 small arcs at D and E.  Then he places the compass point at D and then at E to form the 2 arcs that cross between the  2 line segments AB and AC.

The bisector is the line he can draw between A and the crossed arcs.

Answer 2

Answer:

Bisecting an angle

Step-by-step explanation:

David first draw an angle CAB i.e $\angle CAB$

Then draw an arc cutting AC at D and AB at E .

With E as centre , draw an arc then with D as centre draw an arc

Both the arcs will intersect at some point .

If we join point A to this intersecting point , we get an angle bisector of $\angle CAB$

So, based on the markings that are present , he is actually bisecting the angle.

An angle bisector is a line or line segment which bisects an angle into two equal parts .