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.

Explanation:

1. A chord is a line - segment joining two points on a circle. A radius is a line - segment from the center to a point on the circle, so a chord is never a radius.
2. A diameter is a chord that passes through the center of the circle, so a diameter is always a chord.
3. A tangent touches the circle at exactly one point and a secant intersects the circle at two points, so a tangent is never a secant.
4. The diameter is the longest chord in a circle, so a chord cannot be longer than a diameter of the same circle.
5. A chord can be shorter than a radius. For example, a very short chord close to a single point on the circle.
6. All radii of the same circle have the same length, so a radius is always congruent to another radius of the same circle.

Answer:

B. A diameter is always a chord.
C. A tangent is never a secant.
E. A chord can be shorter than a radius of the same circle.
G. A radius is always congruent to another radius of the same circle.