Question

point b is the midpoint of $overline{ac}$. which statements about the figure must be true? choose three correct answers. $angle dbc$ is bisected by ray bd. $2mangle dbc = mangle abc$ $overline{db}congoverline{bc}$ $angle abc$ is bisected by ray bd. $bc=\frac{1}{2}ac$

Explanation:

Step1: Recall mid - point property

Since B is mid - point of AC, BC=\frac{1}{2}AC.

Step2: Recall angle - bisector concept

Ray BD is perpendicular to AC at B, so ∠ABC = 180°, ∠DBC=90°, and ∠ABC is bisected by ray BD, 2m∠DBC = m∠ABC.

Answer:

2 m∠DBC = m∠ABC, ∠ABC is bisected by ray BD, BC=\frac{1}{2}AC