Question

select the correct answer from each drop - down menu.
point a is the center of this circle.
the ratio of the lengths of bc to is 2:1.

Explanation:

Step1: Recall the definitions

A chord is a line segment with both endpoints on the circle. A radius is a line segment from the center of the circle to a point on the circle.

Step2: Analyze the lengths

Let the radius of the circle be \(r\). If \(A\) is the center of the circle, then \(AD = r\). A diameter \(d = 2r\). The length of chord \(BC\) (assuming \(BC\) is a diameter) is \(d = 2r\). The ratio of the length of \(BC\) (diameter) to \(AD\) (radius) is \(\frac{BC}{AD}=\frac{2r}{r}=2:1\). While \(IH\) is a chord (not a radius), if \(IH\) is not a diameter, its length is not in the ratio \(2:1\) with \(BC\) (when \(BC\) is a diameter).

Answer:

AD