Question

Which statements are correct? Check all that apply.

A chord is sometimes a radius.
A diameter is always a chord.
A tangent is never a secant.
A chord can be longer than a diameter of the same circle.
A chord can be shorter than a radius of the same circle.
A radius is always congruent to another radius of the same circle.

Answer 1

B, C, E, and F are correct.

- A chord is sometimes a radius. — False. A chord has both endpoints on the circle; a radius has one endpoint at the center, so they are not the same.
- A diameter is always a chord. — True. A diameter’s endpoints lie on the circle, so it is a chord (one that passes through the center).
- A tangent is never a secant. — True. A tangent meets the circle at exactly one point; a secant meets it at two distinct points.
- A chord can be longer than a diameter of the same circle. — False. A diameter is the longest possible chord.
- A chord can be shorter than a radius of the same circle. — True. Small chords (close endpoints) can have length less than the radius.
- A radius is always congruent to another radius of the same circle. — True. All radii of a given circle are equal in length.