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Warm-up. 10.1 Lines and Segments that Intersect Circles.

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Presentation on theme: "Warm-up. 10.1 Lines and Segments that Intersect Circles."— Presentation transcript:

1 Warm-up

2 10.1 Lines and Segments that Intersect Circles

3 Write a definition for each of the five terms based on the picture below.

4 Circle The set of all points in a plane at a given distance from a point (Center)

5 Radius - the distance from the center to each of the points on the circle.

6 Circumference Circumference – the linear distance around the edge of a circle. Diameter = 2 x radius

7 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.

8 http://en.wikipedia.org/wiki/File:Pi-unrolled- 720.gif

9 Congruent Circles Two or more circles have the same radius

10 Concentric Circles Two or more coplaner circles that share the same center.

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12 Matching

13 Tangent Conjecture A tangent to a circle is perpendicular to the radius drawn to the point of tangency

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15 Tangent Segments A line segment that lies on a tangent line with one endpoint at the point of tangency

16 Given Segments SR and ST are tangent Prove SR = ST

17 Tangent Segment Conjecture Tangent segments to a circle from a point outside the circle are congruent. Classify each polygon. 1) Triangle ANG2) Quadrilateral ANGE

18 Tangent Circles Two circles that are tangent to the same line at the same point.

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21 Find the measure of

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