Question

question 6 of 10
fill in the blank. if two chords of a given circle are congruent then they must
a. be diameters
b. be perpendicular
c. be parallel
d. be equidistant from the center of the circle

Explanation:

In a circle, congruent chords have a specific property. Congruent chords are not necessarily diameters (as there are non - diameter congruent chords). Congruent chords are not always perpendicular (can be at any angle) and not always parallel (can intersect). However, by the chord - distance theorem in a circle, congruent chords are equidistant from the center of the circle.

Answer:

D. be equidistant from the center of the circle