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82-83 Circles

82-83 Circles. Skill #2. Objectives/Assignment. Identify segments and lines related to circles. Some definitions you need. Circle – set of all points in a plane that are equidistant from a given point called a center of the circle. A circle with center P is called “circle P”, or P.

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82-83 Circles

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  1. 82-83 Circles Skill #2

  2. Objectives/Assignment • Identify segments and lines related to circles.

  3. Some definitions you need • Circle – set of all points in a plane that are equidistant from a given point called a center of the circle. A circle with center P is called “circle P”, or P. • The distance from the center to a point on the circle is called the radius of the circle. • Two circles are congruent if they have the same radius.

  4. The distance across the circle, through its center is the diameter of the circle. The diameter is twice the radius. The terms radius and diameter describe segments as well as measures. Some definitions you need

  5. A radius is a segment whose endpoints are the center of the circle and a point on the circle. QP, QR, and QS are radii of Q. All radii of a circle are congruent. Some definitions you need

  6. A chord is a segment whose endpoints are points on the circle. PS and PR are chords. A diameter is a chord that passes through the center of the circle. PR is a diameter. Some definitions you need

  7. Vocabulary • Inscribed Angle: An Angle inside a Circle made up of two chords • Ex: • Circumscribed Angle: An angle outside the circle made up of 2 tangent lines • Ex:

  8. A secant is a line that intersects a circle in two points. Linek is a secant. A tangent is a line in the plane of a circle that intersects the circle in exactly one point. Linej is a tangent. Some definitions you need

  9. Ex. 1: Identifying Special Segments and Lines Tell whether the line or segment is best described as a chord, a secant, a tangent, a diameter, or a radius of C. • AD • CD • EG • HB

  10. Ex. 1: Identifying Special Segments and Lines Tell whether the line or segment is best described as a chord, a secant, a tangent, a diameter, or a radius of C. • AD – Diameter because it contains the center C. • CD • EG • HB

  11. Ex. 1: Identifying Special Segments and Lines Tell whether the line or segment is best described as a chord, a secant, a tangent, a diameter, or a radius of C. • AD – Diameter because it contains the center C. • CD– radius because C is the center and D is a point on the circle.

  12. Ex. 1: Identifying Special Segments and Lines Tell whether the line or segment is best described as a chord, a secant, a tangent, a diameter, or a radius of C. c. EG – a tangent because it intersects the circle in one point.

  13. Ex. 1: Identifying Special Segments and Lines Tell whether the line or segment is best described as a chord, a secant, a tangent, a diameter, or a radius of C. • EG – a tangent because it intersects the circle in one point. • HB is a chord because its endpoints are on the circle.

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