warm-up. 10.1 lines and segments that intersect circles
DESCRIPTION
Write a definition for each of the five terms based on the picture below.TRANSCRIPT
Warm-up
10.1 Lines and Segments that Intersect Circles
• Write a definition for each of the five terms based on the picture below.
CircleThe set of all points in a plane at a given distance from a point (Center)
Radius - the distance from the center to
each of the points on the circle.
CircumferenceCircumference – the linear distance around the edge of a circle. Diameter = 2 x radius
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.
• http://en.wikipedia.org/wiki/File:Pi-unrolled-720.gif
Congruent Circles
Two or more circles have the same radius
Concentric CirclesTwo or more coplaner circles that share the
same center.
Matching
Tangent Conjecture
A tangent to a circle is perpendicular to the radius drawn to the point of tangency
Tangent Segments
A line segment that lies on a tangent line with one endpoint at the point of tangency
Given Segments SR and ST are tangentProve SR = ST
Tangent Segment ConjectureTangent segments to a circle from a point
outside the circle are congruent.
Classify each polygon.1) Triangle ANG 2) Quadrilateral ANGE
Tangent Circles
Two circles that are tangent to the same line at the same point.
Find the measure of T