Question

1. make a conjecture given that m is the midpoint $overline{bc}$.

bm = bc
bm = mc
mc = bc
m bisects angle c

Explanation:

Step1: Recall mid - point definition

The mid - point of a line segment divides the line segment into two equal parts. If \(M\) is the mid - point of line segment \(\overline{BC}\), then the two sub - segments formed are equal.

Step2: Identify the correct relationship

The two sub - segments of \(\overline{BC}\) are \(\overline{BM}\) and \(\overline{MC}\), so \(BM = MC\).

Answer:

BM=MC