Special Segments in Circles One last stint with Chords, Secants, and Tangents.

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Special Segments in Circles One last stint with Chords, Secants, and Tangents

Transcript of Special Segments in Circles One last stint with Chords, Secants, and Tangents.

Page 1: Special Segments in Circles One last stint with Chords, Secants, and Tangents.

Special Segments in Circles

One last stint with Chords, Secants, and Tangents

Page 2: Special Segments in Circles One last stint with Chords, Secants, and Tangents.

Theorem 10-15Two chords which intersect inside

a circle have segments whose products are equal

AE x EC = BE x ED

Page 3: Special Segments in Circles One last stint with Chords, Secants, and Tangents.

Find x you Slackers!

Page 4: Special Segments in Circles One last stint with Chords, Secants, and Tangents.

Theorem 10-16If two secants intersect OUTSIDE of a

circle, then the products of the external segment and the entire secants are equal

EH x EI = EF x EG

Page 5: Special Segments in Circles One last stint with Chords, Secants, and Tangents.

Find x AGAIN

Page 6: Special Segments in Circles One last stint with Chords, Secants, and Tangents.

Theorem 10-17If a secant and a tangent intersect outside

of a circle, the square of the tangent equals the product of the secant segment

and the entire secant

JK x JK = JL x JM