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

1. (false) A chord is never a radius. A chord is the line segment whose 2 endpoints are points on the circle.

2. (true) A diameter is always a chord, in fact, it is the chord of largest length.

3. (true) A tangent is a line in the exterior of a circle, with only 1 common point with a circle. Whereas a secant has 2 common point with a circle and many more in the interior of the circle

4. (false) A chord can be at most equal to the length of the diameter.

5. (true) A chord can be very short. Consider 2 points on the circle which are very close to each other and the chord formed by them.

6. (true)  

Answer 2

Answer:

A diameter is always a chord.

A tangent is never a secant.

A chord can be shorter than a radius of the same circle.

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