which of the following statements is false?
a every chord is part of a secant
b every diameter is part of a secant
c every chord is a diameter
d every diameter is a chord
c every chord is a diameter.
The false statement is: c) Every chord is a diameter.
Explanation:
- Every chord is not necessarily a diameter. A chord is a line segment that connects two points on a circle. On the other hand, a diameter is a chord that passes through the center of the circle.
- Statement a) is true because a secant is a line that intersects a circle in two distinct points, and every chord can be considered as part of a secant.
- Statement b) is true because every diameter is a chord that passes through the center of the circle, and therefore, it is also part of a secant.
- Statement d) is true because every diameter is a chord that connects two points on the circle, and a diameter is also considered as a chord.