Question

question which of the following statements must be true based on the diagram below? select all that apply. (diagram is not to scale.) answer
$overline{km}$ is a perpendicular bisector.
$overline{km}$ is an angle bisector.
$k$ is the vertex of two angles that are congruent to one another.
$k$ is the vertex of a right angle.
$m$ is the mid - point of a segment in the diagram.
none of the above.

Explanation:

Step1: Analyze perpendicular bisector

There is no indication that $\overline{KM}$ bisects a segment at a right - angle, so we can't say $\overline{KM}$ is a perpendicular bisector.

Step2: Analyze angle bisector

There is no mark or information in the diagram to suggest that $\overline{KM}$ divides $\angle LKJ$ into two equal angles, so we can't say $\overline{KM}$ is an angle bisector.

Step3: Analyze congruent angles at vertex $K$

There is no mark or information to suggest that the angles with vertex $K$ are congruent.

Step4: Analyze right - angle at vertex $K$

There is no right - angle mark at vertex $K$, so we can't say $K$ is the vertex of a right - angle.

Step5: Analyze mid - point $M$

There is no information to suggest that $M$ is the mid - point of a segment.

Answer:

None of the above.