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Name the term that best describes the notation. Secant. Radius. Diameter. Chord. Tangent. _______ __ _ _____. TANGENT = a LINE that intersects the circle exactly ONE time. Common Tangents. http://www.ies.co.jp/math/java/geo/comtan/comtan.html. YOUR TURN. 3 common tangents.
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Name the term that best describes the notation. Secant Radius Diameter Chord Tangent
TANGENT = a LINE that intersects the circle exactly ONE time
Common Tangents http://www.ies.co.jp/math/java/geo/comtan/comtan.html
YOUR TURN 3 common tangents 0 common tangents 1 common tangent
Point of Tangency If a line is tangent to a circle, then it is perpendicular to the radius drawn to the point of tangency More Pythagorean Theorem type problems! Yeah!!
A 12 B 9 x 1. Find x leg2 + leg2 = hyp2 92 + 122 = x2 x = 15
P 12 8 R Q 2. Find RQ leg2 + leg2 = hyp2 122 + x2 = (8+12)2 122 + x2 = 202 RQ = 16
YOUR TURN!!! Find PT leg2 + leg2 = hyp2 r2 + 482 = (r+36)2 P r2 + 2304= r2 +72r+1296 r r r=14 36 T 48 U
Party hat problems! R S If two segments from the same exterior point are tangent to a circle, then they are congruent. T
R S T 3. Find x
4. Find x A C B
YOUR TURN Find x A C B