Question

question 25 of 40
what is the missing justification in the proof of the angle bisector construction?

statement | justification
--- | ---
$\overline{bm}$ is congruent to $\overline{bn}$. | the segments were drawn by the same compass setting.
$\overline{mp}$ is congruent to $\overline{np}$. | the segments were drawn by the same compass setting.
$\overline{bp}$ is congruent to $\overline{bp}$. |
$\triangle bmp$ is congruent to $\triangle bnp$. | sss congruence
$\angle mbp$ is congruent to $\angle nbp$. | cpctc
$\overrightarrow{bp}$ bisects $\angle abc$. | $\angle mbp$ and $\angle nbp$ are congruent and adjacent.

a. transitive property
b. symmetric property
c. congruence property
d. reflexive property

Explanation:

The statement $\overline{BP} \cong \overline{BP}$ refers to a segment being congruent to itself. The property that states any geometric figure is congruent to itself is the Reflexive Property, which is the correct justification here.

Answer:

D. Reflexive Property