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Arcs and Chords

Arcs and Chords. 9.3.3.8 Know and apply properties of a circle to solve problems and logically justify results. . Lesson Obj : IWBAT know and apply properties of a circle to solve problems. Definition: Chord: Any segment whose endpoints lie on the circle.

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Arcs and Chords

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  1. Arcs and Chords 9.3.3.8 Know and apply properties of a circle to solve problems and logically justify results.

  2. Lesson Obj: IWBAT know and apply properties of a circle to solve problems. • Definition: • Chord: Any segment whose endpoints lie on the circle. Guiding Question: What other types of lines go through a circle and how do they work?

  3. Properties to be aware of. With congruent chords Congruent chords create congruent Arcs. Properties work forwards and backwards (ex. If 2 chords are congruent, then they are equidistant from the center) • Any 2 chords that are equidistant from the center are congruent. Guiding Question: What other types of lines go through a circle and how do they work?

  4. Property: A radius is perpendicular to a chord, bisects the chord, and the arc. • Corollary: Any line that is bisects the chord and is perpendicular is a radius. Guiding Question: What other types of lines go through a circle and how do they work?

  5. Find the length of both chords and then find the radius of the circle. Solve the problem. The radius is 13 in and the chord is 5 in away from center. Find the length of the chord. Guiding Question: What other types of lines go through a circle and how do they work?

  6. Assignment: Arcs and Chords Worksheet Guiding Question: What other types of lines go through a circle and how do they work?

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