Question

If a diameter intersects a chord of a circle at a right angle, what conclusion can be made?

The chord is bisected.
The diameter is bisected.
The diameter and the chord are congruent.
The diameter is twice as long as the chord.

Answer 1

The chord is bisected

Explanation:

Answer 2

The chord is bisected.

Explanation:

see the attached figure to better understand the problem

In the circle of the figure

The diameter is the segment DE

The chord is the segment AB

PA=PB=r ----> radius of the circle

Triangles PAC and PBC are congruent right triangles by SSS

Because

PA=PB

PC is a common side

AC=BC ----> Applying Pythagoras Theorem

therefore

The chord AB is bisected