Which of the following statements must be true based on the diagram below? Select all that apply. (Diagram is not drawn to scale.)

(1 point)
Responses

R is the midpoint of a segment in the diagram.
R is the midpoint of a segment in the diagram.

RS¯¯¯¯¯¯¯
is a perpendicular bisector.
line segment cap r cap s is a perpendicular bisector.

RS¯¯¯¯¯¯¯
is a segment bisector.
line segment cap r cap s is a segment bisector.

S is the vertex of a pair of congruent angles in the diagram.
S is the vertex of a pair of congruent angles in the diagram.

S is the midpoint of a segment in the diagram.
S is the midpoint of a segment in the diagram.

QP¯¯¯¯¯¯¯¯⊥ON¯¯¯¯¯¯¯¯

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 month ago

To determine which statements must be true based on the diagram, we would typically analyze the geometric relationships indicated in the diagram. However, since we cannot see the diagram, I'll provide general guidance on what each of those statements would imply and conditions under which they would be true. You can apply this framework to your specific diagram.

1. **R is the midpoint of a segment in the diagram.**
- This statement is true if there are two segments that meet at point R, and the lengths from R to each endpoint are equal.

2. **RS is a perpendicular bisector.**
- This would be true if RS meets another segment at its midpoint and at a right angle.

3. **RS is a segment bisector.**
- This is true if point R divides segment S into two equal parts, but it doesn’t necessarily mean that R must be the midpoint.

4. **S is the vertex of a pair of congruent angles in the diagram.**
- This is true if two lines or segments meet at point S and form angles which are equal.

5. **S is the midpoint of a segment in the diagram.**
- This statement holds if S divides a segment into two equal lengths.

6. **QP ⊥ ON**
- This statement would be true if segments QP and ON intersect at a right angle.

Based on your understanding of the relationships in your specific diagram, evaluate each statement. Without the actual diagram, I cannot determine the truth of each statement definitively, but if any of these conditions are satisfied in the diagram, then the corresponding statement must be true.