∠DBC is bisected by ray BD: FALSE. BD IS ONE OF THE SIDES OF THE ANGLE DBC AND NOT A BISECTOR OR IT.
∠ABC is bisected by ray BD: TRUE. THE ANGLE ABC IS 180° AND THE RAY BB SPLITS IT IN TWO ANGLES 90° EACH.
BC = (1/2) AC: TRUE. GIVEN THAT B IS THE MIDPOINT OF AC, AB = BC AND AC = AB + BC = AB + AB = 2 * AB => AB = AC / 2
AB = (1/2) AC. TRUE. REMEMBER THAT AB = BC
DB congruent to BC: FALSE. YOU DO NOT KNOW THE LENGTH OF DB.
2m∠DBC = m∠ABC: TRUE. m∠DBC= 90° and m∠ABC = 180°
