Question

If a diameter intersects a chord of a circle at a perpendicular, what conclusion can be made? The diameter and the chord are congruent.

The diameter is twice as long as the chord.
The chord is bisected.
The diameter is bisected.

Answer 1

c. the cord is bisected

Explanation:

Answer 2

The chord is bisected ⇒ 3rd answer

Explanation:

* Lets revise some facts in the circle to solve the problem

- A chord in a circle is the segments whose endpoints lie on the

circumference of the circle

- A diameter of a circle is a chord passes through the center of the

circle

- The diameter is the longest chord in the circle

- Any line passes through the center of the circle and perpendicular

to a chord on the circle bisects it

* Lets solve the problem

∵ The diameter of the circle passes through the center of the circle

∵ The diameter intersects a chord of a circle at a perpendicular

∴ The diameter is perpendicular to the chord

∵ Any line passes through the center of the circle and perpendicular

to a chord on the circle bisects it

∴ The diameter bisects the chord

* The chord is bisected