If a radius of a circle is perpendicular to a chord, then it ________ that chord.A.is equal in length toB.parallelsC.bisectsD.is congruent to

To solve the question "If a radius of a circle is perpendicular to a chord, then it ________ that chord," we need to analyze the relationship between the radius, the chord, and their properties.

Explanation of the Answer Choices

1. A. is equal in length to - This is not true, as the radius can be longer or shorter than the chord depending on the distance from the center of the circle.
2. B. parallels - A radius cannot be parallel to the chord as they are not in the same direction and the radius is perpendicular.
3. C. bisects - This is true. When a radius is perpendicular to a chord, it divides the chord into two equal parts.
4. D. is congruent to - This would imply that the two segments created by the bisector are equal, which is true but is not a direct statement about the entire chord.

Conclusion

The most accurate response to the question is C. bisects. This reflects the geometric principle that states when a radius is perpendicular to a chord, it indeed divides the chord into two equal segments.

Final Answer

C. bisects