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Friday October 5th
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Test Corrections If you earned an A (90-105)… please sign the Geometry board!
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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. equidistant C center Symbol: C
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CHORD: A segment whose endpoints are on the circle
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Distance across the circle through its center
Diameter DIAMETER: Distance across the circle through its center P Also known as the longest chord.
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Radius RADIUS: Distance from the center to point on circle P
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D = 24 32 12 r = ? 16 r = 4.5 6 D = 12 9
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Use P to determine whether each statement is true or false.
Q R T S True: thumbs up False: thumbs down
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SECANT sounds like second
Secant Line: intersects the circle at exactly TWO points SECANT sounds like second
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a LINE that intersects the circle exactly ONE time
Tangent Line: a LINE that intersects the circle exactly ONE time Forms a 90°angle
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Secant Radius Diameter Chord Tangent
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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Case I: Vertex is AT the center
P C B
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Semicircle: An Arc that equals 180°
To name: use 3 letters E D EDF P F
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Central Angle : vertex is at the center of the circle
Major Arc Minor Arc More than 180° Less than 180° ACB P AB C B
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measure of an arc = measure of central angle
96 Q m AB = 96° B C m ACB = 264° m AE = 2x Find x. x = 35
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Workbook Page #1-28
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Textbook Page 193 #1-18, 21-27
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