Posts tagged secants
Intersecting secant and tangent line with vertices on, inside, or outside the circle

In this lesson we’ll look at angles whose sides intersect a circle in certain ways and how the measures of such angles are related to the measures of certain arcs of that circle.

As we work through this lesson, remember that a chord of a circle is a line segment that has both of its endpoints on the circle. Besides that, we’ll use the term secant for a line segment that has one endpoint outside the circle and intersects the circle at two points. Finally, we’ll use the term tangent for a line that intersects the circle at just one point.

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Intersecting tangents and secants of circles, intersecting inside the circle and outside the circle

There’s a special relationship between two secants that intersect outside of a circle. The length outside the circle, multiplied by the length of the whole secant is equal to the outside length of the other secant multiplied by the whole length of the other secant.

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