Construct two chords intersecting inside a large circle. Begin by selecting the circle and putting four points on the object (from the construct menu). Select your two points at at a time and construct the chords. Record the measurements.

**If two chords intersect
in a circle, then the products of the measures of the segments
of the chords are**

Drag one of the chords around
the circle slowly to see if any of your statements hold true.

Construct two secant segments to a circle from a common external point.

**If two secant segments
are drawn to a circle from an exterior point, then the product
of the measures of one secant segment and its external secant
segment is to the product
of the measures of the other secant segment and its external secant
segment.**

Construct a tangent segment and a secant segment to a circle from a common external point. Let r be the entire tangent length, s be the entire secant length, but t be the outside part of the secant segment.

**If a tangent segment
and a secant segment are drawn to a circle from an external point,
then the square of the measure of the tangent is to the product of the measures of the secant
segment and its external secant segment.**

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