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Published byClaude Charles Modified over 8 years ago
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Monday October 21
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Test Friday
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Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How are central angles different from inscribed angles? Standard: MM2G3.b
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Parts of a Circle Circle – set of all points _________ from a given point called the _____ of the circle. C Symbol: equidistant center C
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CHORD: A segment whose endpoints are on the circle
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Diameter P DIAMETER: Distance across the circle through its center Also known as the longest chord.
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P RADIUS: Distance from the center to point on circle Radius
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D = r = ? r = D =
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Use P to determine whether each statement is true or false. P Q R T S
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Secant Line: intersects the circle at exactly TWO points
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a LINE that intersects the circle exactly ONE time Tangent Line: Forms a 90°angle
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Name the term that best describes the notation. Secant Radius Diameter Chord Tangent
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THINGS TO REMEMBER: A circle has 360 degrees A semicircle has 180 degrees Vertical Angles are Equal Linear Pairs are Supplementary
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P A B C Central Angle : vertex is at the center of the circle APB is a Central Angle
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P A B C Case I: Vertex is AT the center
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P E F D Semicircle: An Arc that equals 180° EDF To name: use 3 letters
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P A B C Minor ArcMajor Arc Less than 180° More than 180° AB ACB Central Angle : vertex is at the center of the circle
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measure of an arc = measure of central angle A B C Q 96 m AB m ACB m AE E = = = 2x + 14 Find x. 96° 264° x = 35
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