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## PowerPoint Slideshow about ' Circle Segments and Volume' - lenora

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In the same circle, or in congruent circles two minor arcs are congruent if and only if their corresponding chords are congruent.

Chord Arcs Conjecture

In the same circle, two minor arcs are congruent if and only if their corresponding chords are congruent.

IFF

G

and

IFF

and

Example

Find WX.

If a diameter is perpendicular to a chord, then it also bisects the chord and its arc.This results in congruent arcs too.Sometimes, this creates a right triangle & you’ll use Pythagorean Theorem.

If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.Perpendicular Bisector of a Chord Conjecture

H

If one chord is a perpendicular bisector of another chord, then the bisecting chord is a diameter .Perpendicular Bisector to a Chord Conjecture

- is a diameter of the circle.

In the same circle or in congruent circles two chords are congruent when they are equidistant from the center.

In K, K is the midpoint of RE. If TY = -3x + 56 and US = 4x, find the length of TY.

U

T

K

E

x = 8

R

S

Y

TY = 32

Secant and Tangent

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