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 1 out of 2
(overline{fg}) is a segment bisector. (overline{fg}) is a perpendicular bisector. (overline{fg}) is an angle bisector. (f) is the vertex of a right angle. (g) is the vertex of a right angle. (g) is the mid - point of a segment in the diagram.

Explanation:

Step1: Analyze segment - bisector property

There is no indication in the diagram that $\overline{FG}$ divides any segment into two equal - length parts. So, $\overline{FG}$ is not a segment bisector.

Step2: Analyze perpendicular - bisector property

There are no right - angle markings or information suggesting that $\overline{FG}$ is perpendicular to and bisects a segment. So, $\overline{FG}$ is not a perpendicular bisector.

Step3: Analyze angle - bisector property

There are no angle - congruence markings to indicate that $\overline{FG}$ divides an angle into two equal angles. So, $\overline{FG}$ is not an angle bisector.

Step4: Analyze right - angle at F

There are no right - angle markings at point F. So, F is not the vertex of a right angle.

Step5: Analyze right - angle at G

There are no right - angle markings at point G. So, G is not the vertex of a right angle.

Step6: Analyze mid - point property of G

There are no markings to show that G is the mid - point of a segment in the diagram.

Answer:

None of the statements must be true.