McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
Mid-Chapter Quiz
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Exercise 3 Page 749

A chord is a segment whose endpoints are on the circumference of a circle.

ED

Before naming a chord 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 ED is a chord since its endpoints are on the circle's circumference. Since it does not contain the center, it is not a diameter.

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

Therefore, according to the definitions ED is a chord, but not a diameter.