Question

question 7 of 10 fill in the blank. if two chords of a given circle are congruent then they must _______. a. be diameters b. be equidistant from the center of the circle c. be perpendicular d. be parallel

Explanation:

Step1: Recall circle - chord property

In a circle, if two chords are congruent, the perpendicular distances from the center of the circle to these chords are equal.

Step2: Analyze each option

• Option A: Congruent chords don't have to be diameters. There are many non - diameter congruent chords in a circle.
• Option B: This is a correct property. If \(AB\) and \(CD\) are congruent chords of a circle with center \(O\), then the distance from \(O\) to \(AB\) and the distance from \(O\) to \(CD\) are the same.
• Option C: Congruent chords are not necessarily perpendicular to each other.
• Option D: Congruent chords are not necessarily parallel. They can intersect inside the circle.

Answer:

B. be equidistant from the center of the circle