Question

question 6 of 10
a radius of a circle is perpendicular to a chord if and only if it

a. intersects the chord directly on the circumference
b. bisects that chord
c. is equal in length to that chord
d. parallels that chord

Explanation:

Based on the perpendicular - bisector theorem of chords in a circle. The theorem states that a radius (or a diameter) of a circle is perpendicular to a chord if and only if it bisects the chord.

• Option A: If a radius intersects the chord on the circumference, it is not necessarily perpendicular to the chord.
• Option C: A radius and a chord (except in some special cases like a diameter and a chord of length equal to the diameter in a circle of radius \(r\), but in general) are not of equal length.
• Option D: A radius and a chord cannot be parallel.

Answer:

B. bisects that chord