Segment Lengths in Circles Mrs Rawat Theorem When

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Segment Lengths in Circles Mrs. Rawat

Segment Lengths in Circles Mrs. Rawat

Theorem When chords intersect, the chords break into segments that are equal when multiplied.

Theorem When chords intersect, the chords break into segments that are equal when multiplied.

Theorem When chords intersect, the chords break into segments that are equal when multiplied.

Theorem When chords intersect, the chords break into segments that are equal when multiplied.

Theorem When chords intersect, the chords break into segments that are equal when multiplied.

Theorem When chords intersect, the chords break into segments that are equal when multiplied.

Theorem When chords intersect, the chords break into segments that are equal when multiplied.

Theorem When chords intersect, the chords break into segments that are equal when multiplied.

Theorem When two secants intersect a circle, the segments of the secants (the chord

Theorem When two secants intersect a circle, the segments of the secants (the chord and the whole secant ) are equal when multiplied together.

Theorem When two secants intersect a circle, the segments of the secants (the chord

Theorem When two secants intersect a circle, the segments of the secants (the chord and the whole secant ) are equal when multiplied together.

Theorem When two secants intersect a circle, the segments of the secants (the chord

Theorem When two secants intersect a circle, the segments of the secants (the chord and the whole secant ) are equal when multiplied together.

Theorem A tangent and a secant

Theorem A tangent and a secant

Theorem A tangent and a secant

Theorem A tangent and a secant

Theorem A tangent and a secant

Theorem A tangent and a secant

Theorem A tangent and a secant

Theorem A tangent and a secant

Example 4: Using Properties of Tangents HK and HG are tangent to F. Find

Example 4: Using Properties of Tangents HK and HG are tangent to F. Find HG. HK = HG 2 segments tangent to from same ext. point segments . 5 a – 32 = 4 + 2 a Substitute 5 a – 32 for HK and 4 + 2 a for HG. 3 a – 32 = 4 Subtract 2 a from both sides. 3 a = 36 a = 12 HG = 4 + 2(12) = 28 Add 32 to both sides. Divide both sides by 3. Substitute 12 for a. Simplify.

Check It Out! Example 4 a RS and RT are tangent to Q. Find

Check It Out! Example 4 a RS and RT are tangent to Q. Find RS. RS = RT 2 segments tangent to from same ext. point segments . x Substitute 4 for RS and x – 6. 3 for RT. x = 4 x – 25. 2 Multiply both sides by 4. Subtract 4 x from both sides. – 3 x = – 25. 2 Divide both sides by – 3. x = 8. 4 Substitute 8. 4 for x. = 2. 1 Simplify.