Question

Point B is the midpoint of Line segment A C .

Horizontal line with points A, B, and C. A vertical line extends from point B through point D to create two right angles.

Which statements about the figure must be true? Select three options.

AngleDBC is bisected by ray BD.
AngleABC is bisected by ray BD.
BC = One-halfAC
Line segment D B is-congruent-to Line segment B C
2mAngleDBC = mAngleABC

Answer 1

angle ABC is bisected by BD

BC= halfAC

2mangleDBC=mangleABC

Explanation:

Answer 2

(b).∠ABC is bisected by ray BD.

(c) BC = One-half of AC

(e) 2 ∠DBC = ∠ABC

Explanation:

Here ray AC and ray BD is perpendicular to each other.

Thus, Option (a) is not true as ∠DBC is not bisected by any ray.

Option (b) is correct.

Option (c) is also correct as B is the mid-point of AC.

Option (d) is also incorrect as length of line segment DB and line segment BC can be different.

Option (e) is also correct.