Question

q. which of the following names a diameter? (image of a circle with center d, points a, b, c on the circle; segment dc, segment db, segment ac? options include segment bc, segment ac)

Explanation:

Step1: Recall diameter definition

A diameter of a circle is a straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

Step2: Analyze segments

• Segment BC: Does not pass through center D, so not a diameter.
• Segment AC: Passes through center D, with endpoints A and C on the circle. So it meets the diameter definition.

Answer:

segment AC