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 connects two circle points; radius connects center to one point, so it can never be a chord.
2. A diameter connects two circle points through the center, fitting the chord definition.
3. A tangent touches the circle once; a secant crosses it twice, so they are distinct.
4. The diameter is the longest possible chord in a circle, so no chord can be longer.
5. A chord can be very short (e.g., two close points on the circle), shorter than the radius.
6. All radii of the same circle have equal length, so they are congruent.

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.
F. A radius is always congruent to another radius of the same circle.