Question

1. given the following diagram, state whether the following pieces exist. if they do, write yes. if they do not exist, write no.

∠feb
·b
fc
·b is midpoint of (overline{ad})
(overline{db})
(overline{eb})
∠cbe
(overline{fb}congoverline{bc})
∠abc + ∠cbd = ∠abd

Explanation:

Step1: Check mid - point definition

A mid - point divides a line segment into two equal parts. If \(B\) is the mid - point of \(\overline{AD}\), then \(AB = BD\). From the diagram, if the geometric relationships hold as presented, we can determine the existence of the mid - point. Since the diagram and the context suggest that \(B\) lies on \(\overline{AD}\) and divides it into two parts, we can conclude based on the visual and geometric principles.

Step2: Determine existence

We see that \(B\) is shown on the line segment \(\overline{AD}\) in a way that is consistent with the mid - point concept. So, \(B\) is the mid - point of \(\overline{AD}\).

Answer:

YES