Question

If a chord is perpendicular to a segment drawn from the center of the circle, what do you know about the point where the segment and the chord intersect?

Answer 1

Midpoint of the chord.

Answer 2

the point is the midpoint of a chord and will result in the segment being perpendicular to the chord

Answer 3

Theorem: In a circle, a radius perpendicular to a chord bisects the chord. So, the point of interesection of the chord and the radius is the midpoint of the chord.

Answer 4

You don't need no theorem. Basically, you have an isosceles triangle, and its altitude (perpendicular line from the vertex) bistects the base, in this case the chord.