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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

Mid-Chapter Quiz

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Exercise 2 Page 749

A diameter is a chord that contains the center of a circle.

EC

Before naming a diameter from the graph, let's review some important definitions about circles.

Radius: A segment whose endpoints are the center and any point on the circumference of a circle.
Chord: A segment whose endpoints are on the circumference of a circle.
Diameter: A chord that contains the center of the circle.
Secant: A line that intersects a circle in two points.
Tangent: A line in the plane of a circle that intersects the circle in exactly one point — the point of tangency.

Now, consider the given diagram. We can see that EC is a chord, as its endpoints are on the circle's circumference and it contains the center.

Circle A with segments EC, ED, and AB drawn. Segment EC is highlighted

Therefore, according to the definitions EC is a diameter of the circle.

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