Question

1. in which of the following circles is the line segment a diameter?

Explanation:

Define a diameter of a circle

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

Evaluate each option based on the definition

• Option 1 (top-left): The line segment has both endpoints on the circle and passes directly through the center point. This is a diameter.
• Option 2 (top-right): The line is a secant line that does not pass through the center.
• Option 3 (middle-left): The line segment is a chord that does not pass through the center.
• Option 4 (middle-right): The line segment connects the center to a point on the circle, which is a radius.
• Option 5 (bottom-left): The line touches the circle at only one point, which is a tangent line.

Answer:

• (A) A circle with a line segment passing through the center with both endpoints on the circle (Correct answer)
• (B) A circle with a secant line passing through it but not through the center
• (C) A circle with a chord near the top that does not pass through the center
• (D) A circle with a radius connecting the center to the boundary
• (E) A circle with a tangent line touching the outer edge