8 6 Segments in Circles Interior Segments l

  • Slides: 12
Download presentation
8 -6 Segments in Circles

8 -6 Segments in Circles

Interior Segments l. Interior segments are formed by two intersecting chords. A D E

Interior Segments l. Interior segments are formed by two intersecting chords. A D E B C

Interior Segments Theorem l If two chords intersect within a circle, then the product

Interior Segments Theorem l If two chords intersect within a circle, then the product of the lengths of the parts of one chord is equal to the product of the lengths of the parts of the second chord.

Interior Segments Theorem l If two chords intersect within a circle, then the product

Interior Segments Theorem l If two chords intersect within a circle, then the product of the lengths of the parts of one chord is equal to the product of the lengths of the parts of the second chord. A D a c C d E a • b = c • d b B

Exterior Segments l Exterior segments are formed by two secants, or a secant and

Exterior Segments l Exterior segments are formed by two secants, or a secant and a tangent, or two tangents.

Secant Segments Theorem l If two secant segments are drawn to a circle from

Secant Segments Theorem l If two secant segments are drawn to a circle from an external point, then the products of the lengths of the secant and their exterior parts are equal. s s • e = r • c e c r secant • exterior = secant • exterior or whole • outside = whole • outside wo = wo

Secant Segments Theorem s • e = r • c secant • exterior =

Secant Segments Theorem s • e = r • c secant • exterior = secant • exterior or whole • outside = whole • outside wo = wo

EXAMPLE: x FIND x

EXAMPLE: x FIND x

Secant and Tangent Theorem: l The square of the length of the tangent equals

Secant and Tangent Theorem: l The square of the length of the tangent equals the product of the length of the secant and its exterior segment. s • e = t 2 t e s

Secant and Tangent Theorem: s • e = t 2

Secant and Tangent Theorem: s • e = t 2

EXAMPLE: x FIND x

EXAMPLE: x FIND x

Review: Tangent Theorem l. If two segments from the same exterior point are tangent

Review: Tangent Theorem l. If two segments from the same exterior point are tangent to a circle, then they are congruent. tan gen t g n ta t n e

Segment Lengths in Circles Interior Segments Interior segmentsSegment Lengths in Circles Interior Segments Interior segments
CLIENT SEGMENTS CLIENT SEGMENTS CLIENT SEGMENTS CLIENT SEGMENTSCLIENT SEGMENTS CLIENT SEGMENTS CLIENT SEGMENTS CLIENT SEGMENTS
Special Segments In Circles JEOPARDY HOME Chord SegmentsSpecial Segments In Circles JEOPARDY HOME Chord Segments
Intersections of Circles and Tangent Segments Two circlesIntersections of Circles and Tangent Segments Two circles
Circles 12 1 Lines that Intersect Circles InteriorCircles 12 1 Lines that Intersect Circles Interior
Interior Design 1 What is Interior Design InteriorInterior Design 1 What is Interior Design Interior
1 3 Measuring Segments 1 3 Measuring Segments1 3 Measuring Segments 1 3 Measuring Segments
Team Details 1 Customer Segments The Customer SegmentsTeam Details 1 Customer Segments The Customer Segments
Quadratic Segments Quadratic Segments parabola Calculate the areasQuadratic Segments Quadratic Segments parabola Calculate the areas
Markets What are your key market segments SegmentsMarkets What are your key market segments Segments
INTERNET SEGMENTS MKTG 476 Segmentation Internet segments TheINTERNET SEGMENTS MKTG 476 Segmentation Internet segments The