Lesson: 10 – 7 Special Segments in Circles

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Presentation transcript:

Lesson: 10 – 7 Special Segments in Circles Geometry Lesson: 10 – 7 Special Segments in Circles Objective: Find the measure of segments that intersect in the interior of a circle. Find measures of segments that intersect in the exterior of a circle.

Chord Segments When two chords intersect it splits the chords into segments called chord segments.

Segments of Chords Theorem Copy title & pic Segments of Chords Theorem If two chords intersect in a circle, then the products of the lengths of the chord segments are equal.

Use the intersection of Two Chords to find x.

Use the intersection of Two Chords to find x. Copy Use the intersection of Two Chords to find x.

The true shape of a rainbow is a complete circle The true shape of a rainbow is a complete circle. However, we see only the arc of the circle that appears above the Earth’s horizon. What is the radius of the circle containing the arc of the rainbow.

Secant Segment External Secant Segments Copy title & pic Secant Segment A segment of a secant that has exactly one endpoint on the circle. External Secant Segments

Secant Segments Theorem Copy title & pic Secant Segments Theorem

Use the Intersection of Two secants to find x.

Theorem 10.17 Copy title & pic

Copy Quadratic Formula For ax2 + bx + c = 0, then

Copy Get = to 0.

Homework Pg. 739 2 – 20 E, 26, 36