Warm-up. 10.1 Lines and Segments that Intersect Circles.
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Transcript of Warm-up. 10.1 Lines and Segments that Intersect Circles.
![Page 1: Warm-up. 10.1 Lines and Segments that Intersect Circles.](https://reader036.fdocuments.in/reader036/viewer/2022062601/5a4d1be67f8b9ab0599e255d/html5/thumbnails/1.jpg)
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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CircleThe 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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CircumferenceCircumference – 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/D4) 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 CirclesTwo 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 tangentProve SR = ST
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Tangent Segment ConjectureTangent segments to a circle from a point
outside the circle are congruent.
Classify each polygon.1) Triangle ANG 2) 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 T
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