Question

which of the following statements must be true based on the diagram below? select all that apply. (diagram is not to scale.) answer attempt 2 out of 3 $overline{ik}$ is a segment bisector. $overline{ik}$ is an angle bisector. $k$ is the vertex of two angles that are congruent to one another. $i$ is the midpoint of a segment in the diagram. $k$ is the midpoint of a segment in the diagram. none of the above

Explanation:

Step1: Analyze segment - bisector property

There is no indication that $\overline{IK}$ divides any segment into two equal - length parts, so $\overline{IK}$ is not a segment bisector.

Step2: Analyze angle - bisector property

Since there are angle - congruence marks at the angles formed by $\overline{IK}$, $\overline{IK}$ is an angle bisector.

Step3: Analyze vertex of congruent angles

There are angle - congruence marks at the angles with vertex $K$, so $K$ is the vertex of two angles that are congruent to one another.

Step4: Analyze mid - point of segments

There are no marks indicating that $I$ or $K$ is the mid - point of a segment.

Answer:

$\overline{IK}$ is an angle bisector., $K$ is the vertex of two angles that are congruent to one another.