Question

identify examples of the following. explain your reasoning. a. diameter b. radius

Explanation:

Step1: Recall diameter definition

A diameter is a straight - line segment that passes through the center of a circle and has its endpoints on the circle. In the given circle with center \(H\), \(EF\) is a diameter as it passes through \(H\) and has endpoints \(E\) and \(F\) on the circle.

Step2: Recall radius definition

A radius is a straight - line segment from the center of a circle to a point on the circle. For example, \(HA\) is a radius since \(H\) is the center and \(A\) is a point on the circle.

Answer:

A. Diameter: \(EF\) because it passes through the center \(H\) and has endpoints on the circle.
B. Radius: \(HA\) because it is a line - segment from the center \(H\) to a point \(A\) on the circle.