4.1d: Angles from Secants and Tangents

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Presentation transcript:

4.1d: Angles from Secants and Tangents CCSS GSE

http://www. regentsprep. org/Regents/math/geometry/GP15/CircleAngles http://www.regentsprep.org/Regents/math/geometry/GP15/CircleAngles.htm

Ex.

http://www. regentsprep. org/Regents/math/geometry/GP15/CircleAngles http://www.regentsprep.org/Regents/math/geometry/GP15/CircleAngles.htm

Ex

chord A Secant is a line that goes through a circle. It contains a chord, which is the segment in the circle.

1) http://www.regentsprep.org/Regents/math/geometry/GP15/CircleAngles.htm

2) 3) http://www.regentsprep.org/Regents/math/geometry/GP15/CircleAngles.htm

Remember that this theorem only used the intercepted arcs. Recap of what the 3 possibilities looks like: Remember that this theorem only used the intercepted arcs. Therefore, the red arc in the picture below is not used in this formula.                                                                                                 http://www.mathwarehouse.com/geometry/circle/tangents-secants-arcs-angles.php

Example Find x

http://www.regentsprep.org/Regents/math/geometry/GP15/PcirclesN2.htm

http://www.regentsprep.org/Regents/math/geometry/GP15/PcirclesN2.htm

http://www.regentsprep.org/Regents/math/geometry/GP15/PcirclesN2.htm

http://www.regentsprep.org/Regents/math/geometry/GP15/PcirclesN2.htm

http://www.regentsprep.org/Regents/math/geometry/GP15/PcirclesN2.htm

http://www.regentsprep.org/Regents/math/geometry/GP15/PcirclesN2.htm

http://www.regentsprep.org/Regents/math/geometry/GP15/PcirclesN2.htm

http://www.regentsprep.org/Regents/math/geometry/GP15/PcirclesN2.htm

http://www.regentsprep.org/Regents/math/geometry/GP15/PcirclesN2.htm

http://www.regentsprep.org/Regents/math/geometry/GP15/PcirclesN2.htm

http://www.regentsprep.org/Regents/math/geometry/GP15/PcirclesN2.htm

http://www.regentsprep.org/Regents/math/geometry/GP15/PcirclesN2.htm

http://www.regentsprep.org/Regents/math/geometry/GP15/PcirclesN2.htm

http://www.regentsprep.org/Regents/math/geometry/GP15/PcirclesN2.htm

The End 