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Circle Vocabulary

Circle Vocabulary. A Journey into the World of Circles…. Homework: Lesson 1.7/1-11, 13, 15, 19-20 all; 23 -37 odds. Definitions Objective: Have students understand the common definitions associated with circles such as radius, chord, and tangent, as well as the definition of a circle itself.

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Circle Vocabulary

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  1. Circle Vocabulary A Journey into the World of Circles… Homework: Lesson 1.7/1-11, 13, 15, 19-20 all; 23 -37 odds

  2. DefinitionsObjective: Have students understand the common definitions associated with circles such as radius, chord, and tangent, as well as the definition of a circle itself

  3. What is a Circle? • A circle is defined as… • The set of all points in a plane that are equidistant (radius) from a given point (center).

  4. Circle Names • A circle is named by its center • Since the center is a point we use the circle notation and the point’s name A

  5. Basic Parts of a Circle • Interior of a Circle points A, B, C • ON the circle point D • Exterior of a Circle points E, F, G

  6. Your Turn • Lesson 1.7 – Circles • Turn to pages 69 - 71 • Read the lesson • Write each bold faced word and its definition • On page 70: complete the investigation on the 3 indicated circle terms

  7. Segments of a Circle • Chord is a segment whose endpoints are on the circle

  8. Segments of a Circle • Diameter is a chord that passes through the center of the circle. The Diameter is the longest chord across a circle. 

  9. Segments of a Circle • Radius – a segment that has the center as one endpoint and a point on the circle as the other endpoint. • Don’t forget… • A diameter is made up of two radii • All radii, in the same circle, are congruent

  10. Diameter, Chord or Radius?

  11. Lines that Intersect a Circle

  12. Lines that Intersect a Circle

  13. Special Cases of Tangent Lines

  14. Common Tangent Types • Common External Tangent • Common Internal Tangent

  15. Recap… • Identify the following by their correct vocabulary name

  16. Concentric Circles • Concentric circles are circles with a common center and different length radii. • The region between two concentric circles of different radii is called an annulus.

  17. Congruent Circles Circles are congruent circles if they have the same length radius.

  18. ARC An arc of a circle is the continuous part of the circle btwn the 2 endpoints. An arc is a piece of the circle.

  19. SemicirclesArc of a circle whose endpoints are the endpoints of a diameter of the circle. (3 letter names) D F

  20. Minor arcsArc of a circle whose measure is smaller than 180°. (2 letter names) S T

  21. Major arcsArc of a circle whose measure is between 180 ˚ and 360˚. (3 letter names) T X

  22. Identify a minor,a major & a semicircle arc

  23. CENTRAL ANGLE- A is an angle with it’s vertex at the center and whose legs are radii of the circle. P D <APD is a central angle in circle P

  24. Central Angle & Intercepted Arc The degree measure of a central angle is equal to the degree measure of its intercepted arc. A X W

  25. INSCRIBED ANGLE An angle with it’s vertex ON the circle and whose legs are chords of the circle. <AOB is an inscribed angle in circle P

  26. In summary….. minor major

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