Question 1158192: From any point P outside a given circle, there are two lines through P that are tangent to the circle. Explain why the distance from P to one of the points of tangency is the same as the distance from P to the other point of tangency. What special quadrilateral is formed by the center of the circle, the points of tangency, and
Answer by greenestamps(13200)   (Show Source):
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The radii, the tangents, and the line from P to the center of the circle form two congruent right triangles. The tangent segments from P to the points of tangency with the circle are one of the pairs of corresponding sides in those two triangles, so they are congruent.
The two radii and the two tangents form a quadrilateral with two pair of adjacent sides, making it a kite.
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