David is performing the following construction. based on the markings that are present, what construction is he performing?
bisecting an angle
bisecting a line segment
copying an angle
copying a line segment

Bisecting an angle

Step-by-step explanation:

David first draw an angle CAB i.e

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

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 .

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)

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