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 dg is a perpendicular bisector. g is the vertex of two angles that are congruent to one another. d is the vertex of a right angle. d is the midpoint of a segment in the diagram. g is the midpoint of a segment in the diagram. none of the above.

Explanation:

Step1: Analyze perpendicular bisector

There is no indication in the diagram that $DG$ is perpendicular to $EC$ or bisects it, so the statement "DG is a perpendicular bisector" is false.

Step2: Analyze angles at G

There is no information in the diagram to suggest that $G$ is the vertex of two congruent angles, so the statement "G is the vertex of two angles that are congruent to one another" is false.

Step3: Analyze right - angle at D

There is no marking or indication that $\angle EDC$ or any angle with vertex $D$ is a right - angle, so the statement "D is the vertex of a right angle" is false.

Step4: Analyze mid - point at D

There is no evidence that $D$ is the mid - point of any segment in the diagram, so the statement "D is the midpoint of a segment in the diagram" is false.

Step5: Analyze mid - point at G

There is no evidence that $G$ is the mid - point of any segment in the diagram, so the statement "G is the midpoint of a segment in the diagram" is false.

Answer:

None of the above.