Sunday, March 6, 2011

10.8 The Power Theorems


Today in class we learned the power theorems of circles. The theorems are.....


The first theorem is.... -If two chords of a circle intersect inside the circle, then the product of the measures of the segments of one chord are equal to the product of the measures of the other chord.
-so in this case, AP*PD=BP*PC The second theorem is... -If there are 2 secant segmants that go through the circle, then the product of the small part of one line and the entire line is equal to the product of the small part of the other line and its whole line.

- So in this case, PA*PD=PC*PB


A 3rd 2nd theorem for a special case of a circle in which there are only 2 secant segmants is... -If two secant segments are drawn from an external point to a circle, then the product of the measures of one secant segment and its external part is equal to the product of the measures of the other secant segment and its external part.


A 4th 3rd theorem for another special case of a circle in which there is one tangent line and one secant line is.... -If a tangent and a secant segment are drawn from an external point to a circle, then the square of the measure of the tangent segment is equal to the product of the measures of the entire secant segment and its external part


Well that's about all we learned in class.
-Michael Levitsky

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