Question

make a conjecture given that m is the midpoint of $overline{bc}$.
○ $bm = mc$
○ $bm = bc$
○ m bisects $angle c$
○ $mc = bc$

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 by the definition of a mid - point, the distance from $B$ to $M$ is equal to the distance from $M$ to $C$.

Step2: Express in equation form

This can be written as $BM = MC$.

Answer:

A. $BM = MC$