Question

In circle O, segment AE and segment FC are diameters. What can be concluded about the relationship between segments AE and FC?

A) They are congruent.
B) They are parallel.
C) They are perpendicular.
D) They are tangents.

Answer 1

In a circle, if segment AE and segment FC are diameters, then they are congruent.

So, the correct answer is: C) They are perpendicular.

Step-by-step explanation:

In a circle, if segment AE and segment FC are diameters, then the relationship between segments AE and FC is that they are congruent (option A).

In a circle, if segment AE and segment FC are diameters, then they are congruent.

A diameter is a line segment that passes through the center of a circle and has both endpoints on the circle. Since AE and FC are diameters, they both pass through the center of the circle. Therefore, they have the same length and are congruent.