A diameter that is perpendicular to a chord bisects the chord.
True
or
False
If you are talking about a chord inside a circle, the statement is true.
True.
True.
To understand why this statement is true, we need to clarify a few terms.
- A chord is a line segment that connects two points on the circumference of a circle.
- A diameter is a chord that passes through the center of the circle. It is the longest chord in a circle, as it extends from one side to the other, passing through the center.
Now, let's imagine a circle with a chord and a diameter that is perpendicular to the chord.
Since the diameter passes through the center of the circle, it divides the circle into two equal halves. This means that the chord is also divided into two equal segments.
Therefore, a diameter that is perpendicular to a chord indeed bisects the chord.