Glencoe Geometry Chapter 10 Vocabulary
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Questions and Answers

What is a central angle?

  • An angle that intersects a circle in 2 points with its vertex at the center of the circle (correct)
  • An angle whose vertex is outside the circle
  • An angle formed by two radii
  • An angle that intersects a circle in only one point
  • What is a chord?

    A segment with endpoints that are on the circle.

    What defines a circle?

    The locus of all points in a plane equidistant from a given point called the center.

    What is the circumference of a circle?

    <p>The distance around a circle.</p> Signup and view all the answers

    When is a circle said to be circumscribed about a polygon?

    <p>When the circle contains all the vertices of the polygon.</p> Signup and view all the answers

    What is a diameter?

    <p>The chord that passes through the center of the circle.</p> Signup and view all the answers

    What does it mean for a polygon to be inscribed in a circle?

    <p>Each of its vertices lies on the circle.</p> Signup and view all the answers

    What is necessary for an angle to intercept an arc?

    <p>Each side of the angle must contain an endpoint of the arc and all other points of the arc must be in the interior of the circle.</p> Signup and view all the answers

    What is a major arc?

    <p>An arc with a measure greater than 180.</p> Signup and view all the answers

    What is a minor arc?

    <p>An arc with a measure less than 180.</p> Signup and view all the answers

    What is pi?

    <p>An irrational number represented by the ratio of the circumference to the diameter of a circle.</p> Signup and view all the answers

    What is the point of tangency?

    <p>The point at which a line intersects a circle in only one point.</p> Signup and view all the answers

    What is a radius?

    <p>Any segment with endpoints at the center of the circle and a point on the circle.</p> Signup and view all the answers

    What is a secant?

    <p>Any line that intersects a circle in exactly two points.</p> Signup and view all the answers

    What is a semicircle?

    <p>An arc that measures 180.</p> Signup and view all the answers

    What is a tangent?

    <p>A line that intersects the circle in exactly one point.</p> Signup and view all the answers

    Study Notes

    Circle Geometry Vocabulary

    • Central Angle: Intersects a circle at two points, vertex located at the circle's center.

    • Chord: A segment whose endpoints lie on the circumference of a circle.

    • Circle: A set of points equidistant from a central point, known as the center.

    • Circumference: The total distance around the circle.

    • Circumscribed Circle: A circle that encompasses all vertices of a polygon, forming a boundary.

    • Diameter: The longest chord, passing through the center of a circle, measuring twice the radius.

    • Inscribed Polygon: A polygon with all vertices located on a circle.

    • Intercepted Arc: An arc is intercepted when endpoints lie on an angle with all other points within the circle's interior.

    • Major Arc: An arc measuring greater than 180 degrees.

    • Minor Arc: An arc measuring less than 180 degrees.

    • Pi (π): An irrational number, given by the ratio of a circle's circumference to its diameter, approximately equal to 3.14159.

    • Point of Tangency: The single point where a tangent line intersects the circle.

    • Radius: A segment connecting the center of the circle to any point on its circumference.

    • Secant Line: A line that intersects the circle at two distinct points.

    • Semicircle: An arc that spans half a circle, measuring exactly 180 degrees.

    • Tangent Line: A line that touches the circle at one point, not penetrating the circle.

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    Description

    Test your understanding of key vocabulary from Chapter 10 of Glencoe Geometry. This quiz covers essential terms such as central angle, chord, and circumference, helping you solidify your geometric knowledge. Perfect for review or study sessions!

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