Question

which line is the diameter?

Explanation:

Step1: Recall the definition of a diameter

A diameter of a circle is a straight line passing through the center of the circle and connecting two points on the circle.

Step2: Analyze each option

• $\overline{WX}$: This is a radius (a line from the center \(X\) to a point \(W\) on the circle), not a diameter.
• $\overline{ZY}$: This is a chord (a line connecting two points \(Z\) and \(Y\) on the circle) that does not pass through the center \(X\), so it is not a diameter.
• $\overline{ZV}$: This line passes through the center \(X\) (since \(X\) is the center of the circle shown) and connects two points \(Z\) and \(V\) on the circle.

Answer:

$\overline{ZV}$