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Published byDelilah Potter Modified over 9 years ago
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Warm-up
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10.1 Lines and Segments that Intersect Circles
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Write a definition for each of the five terms based on the picture below.
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Circle The set of all points in a plane at a given distance from a point (Center)
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Radius - the distance from the center to each of the points on the circle.
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Circumference Circumference – the linear distance around the edge of a circle. Diameter = 2 x radius
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Circumference Investigation 1)Find a circular object. 2)Measure the circumference and diameter. 3)Find C/D 4)Record your results on the board. Do this a few times.
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http://en.wikipedia.org/wiki/File:Pi-unrolled- 720.gif
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Congruent Circles Two or more circles have the same radius
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Concentric Circles Two or more coplaner circles that share the same center.
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Matching
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Tangent Conjecture A tangent to a circle is perpendicular to the radius drawn to the point of tangency
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Tangent Segments A line segment that lies on a tangent line with one endpoint at the point of tangency
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Given Segments SR and ST are tangent Prove SR = ST
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Tangent Segment Conjecture Tangent segments to a circle from a point outside the circle are congruent. Classify each polygon. 1) Triangle ANG2) Quadrilateral ANGE
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Tangent Circles Two circles that are tangent to the same line at the same point.
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Find the measure of
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