Question

point b is the mid - point of ac. which statements about the figure must be true? select three options. ∠dbc is bisected by ray bd. ∠abc is bisected by ray bd. bc = 1/2ac. db ≅ bc. 2m∠dbc = m∠abc

Explanation:

Step1: Recall mid - point property

If B is the mid - point of $\overline{AC}$, then by the definition of a mid - point, $BC=\frac{1}{2}AC$.

Step2: Analyze angle - bisector properties

There is no information to suggest that $\angle DBC$ is bisected by ray $BD$ or that $\angle ABC$ is bisected by ray $BD$. Also, there is no information to show that $\overline{DB}\cong\overline{BC}$ or that $2m\angle DBC = m\angle ABC$.

Answer:

$BC=\frac{1}{2}AC$