2.

Question

In this figure, the distance from A to B is 5 units. What else is true?

The distance from B to C is 5 units.

The distance from A to C is 5 units.

is the perpendicular bisector of .

is the perpendicular bisector of .

Answer 1

It looks like your question refers to a specific figure which I don't have access to. However, I can help you understand the general relationships and principles associated with distances and perpendicular bisectors.

Given that the distance from point A to point B is 5 units, and assuming points A, B, and C are located such that various geometric principles can be applied, here are some possibilities:

1. **The distance from B to C is 5 units**:
- If B and C also form a segment of equal length (e.g., in an equilateral triangle or in a regular polygon where AB and BC are both sides), this statement could be true.

2. **The distance from A to C is 5 units**:
- If A, B, and C form an equilateral triangle where all sides are equal, then AC would also be 5 units.

3. **[Line or segment] is the perpendicular bisector of [another line or segment]**:
- The perpendicular bisector of a segment is a line that divides the segment into two equal parts at a 90-degree angle.

Let's review each option hypothetically:

- If AB = 5 units and BC = 5 units, and assuming there is another point C, if C is positioned such that AC remains 5 units, A, B, and C might form an equilateral triangle.

- If a perpendicular bisector is mentioned, it must cross another segment at a right angle and divide it into equal halves. For instance, if a particular line is mentioned as a perpendicular bisector of AB, then AB is split into two segments of 2.5 units each at the point of intersection, and the line forms a right angle (90 degrees) with AB at the midpoint.

Without the actual figure, it's challenging to determine which specific scenario applies, but hopefully, these general principles help clarify the relationships among points, distances, and perpendicular bisectors in geometric contexts. If you can provide more details or a description of the figure, I could offer a more precise explanation.