To determine additional information based on the figure and the given information that the distance from A to C is 7 units, let's analyze the choices provided:
A. **BC⏜ (arc BC) is the perpendicular bisector of **AB⎯⎯⎯ (segment AB).
To be a perpendicular bisector, an arc would need to both cut the given segment perpendicularly at its midpoint. This statement does not have enough context to confirm or deny if BC⏜ is that bisector of AB⎯⎯⎯.
B. **The distance from A to B is 7 units.**
This could be true if A, B, and C are equidistant from each other (for instance, in an equilateral triangle). If A, B, and C form an equilateral triangle, then indeed the distance from A to B would also be 7 units.
C. **The distance from C to B is 7 units.**
This would similarly be true if A, B, and C form an equilateral triangle. Hence, the distance from C to B would also be 7 units in this case.
D. **BC⏜ (arc BC) is the perpendicular bisector of **AC⎯⎯⎯ (segment AC).
This statement could potentially be true if point B lies on perpendicular bisector of segment AC at point C, but again, without additional context about the figure, we cannot definitively conclude this.
Given the information provided and analyzing all the options:
**C. The distance from C to B is 7 units.**
is likely to be a consistently true statement because if A and B are points on the circumference of a circle centered at C, equidistant arrangements would imply such a relationship among the distances. This is often the case in equilateral triangle scenarios or when points are defined in such symmetric structures.
In this figure, the distance from A to C is 7 units. What else is true?
A.
BC⏜arc b c is the perpendicular bisector of AB⎯⎯⎯⎯⎯eh b bar.
B.
The distance from A to B is 7 units.
C.
The distance from C to B is 7 units.
D.
BC⏜arc b c is the perpendicular bisector of AC⎯⎯⎯⎯⎯eh c bar.
1 answer
1 answer