Question

if two chords in a circle are congruent, then they are ______. a. parallel b. the same distance from the center of the circle c. perpendicular

Explanation:

1. Recall the property of chords in a circle: In a circle, congruent chords are equidistant from the center.
2. Analyze Option A: Congruent chords don't have to be parallel (e.g., two congruent chords can intersect or be at different angles).
3. Analyze Option C: Congruent chords aren't necessarily perpendicular (perpendicularity is a specific angle relation not guaranteed by congruence).
4. So, by the circle chord property, congruent chords are the same distance from the center.

Answer:

B. the same distance from the center of the circle