In a pair of concentric circles, a chord drawn in the larger circle just touches the smaller circle at a single point. Which of the following statements is true?
Show answer & explanation
Correct answer: B
Explanation
Both circles share the same center.
The chord of the larger circle is tangent to the smaller circle; therefore, the radius of the smaller circle is perpendicular to the chord at the point of tangency.
A perpendicular drawn from the center of a circle to a chord bisects that chord.
Thus, the point where the chord touches the smaller circle is the midpoint of that chord.