Question

which figure shows line v as a perpendicular bisector of nz?

Explanation:

Step1: Recall the definition of perpendicular bisector

A perpendicular bisector of a line - segment $\overline{NZ}$ is a line that is perpendicular to $\overline{NZ}$ and divides $\overline{NZ}$ into two equal - length segments.

Step2: Analyze Option A

The line $v$ in Option A intersects $\overline{NZ}$ but is not perpendicular to it.

Step3: Analyze Option B

The line $v$ in Option B intersects $\overline{NZ}$ but is not perpendicular to it.

Step4: Analyze Option C

The line $v$ in Option C is perpendicular to $\overline{NZ}$ and appears to bisect it (divide it into two equal - length parts).

Step5: Analyze Option D

The line $v$ in Option D does not intersect $\overline{NZ}$ at all, so it cannot be a bisector.

Answer:

C