Question

Which statement is true about the diameter of a circle?

The diameter has 3 endpoints.

The diameter is one half the length of a radius.

The diameter must pass through the center of the circle.

A diameter is not a chord.

A diameter is a type of radius.

Answer 1

A. Both chords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle.

Explanation:

The only way to answer this question is to check the definitions of chord and diameter.

A chord is a segment with endpoints on the circle. In the attached figure the segments CD and GH are chords.

Now, notice that according to the given definition the segment EF is also a chord, but with the special characteristic that the center of the circle, denoted by A, it is on the segment. This ‘‘special’’ chords that contains the center of the circle are called diameter.

Sometimes the diameters are also called the larger of the chords.

Answer 2

The diameter must pass through the center of the circle.

Explanation:

TRUE STATEMENT :

The diameter must pass through the center of the circle.