Whole Sheet Chord-Chord Secant-Tangent Secant-Secant Tangent-Tangent

Segment Lengths Wheel of Formulas

Time to make a Wheel of Formulas

Secant-Tangent Chord-Chord Tangent-Tangent Secant-Secant Whole Sheet Formula goes here!!! Secant-Secant Tangent-Tangent

Cut out! Cut out this part. Segment Lengths In Circles.

The chords look like a multiply sign! Chord-Chord Intersect INSIDE the circle. A D A • B = C • D B C The chords look like a multiply sign!

Ex. 1 Find x. W X Z Y x + 5 2x 6 V 7

Ex. 2 Find length of chord XY. Verify that it equals chord WZ. 7 6

OUTSIDE SEGMENT • WHOLE SEGMENT = OUTSIDE SEGMENT • WHOLE SEGMENT Secant-Secant Two Secants intersect OUTSIDE the circle E A B C D OUTSIDE SEGMENT • WHOLE SEGMENT = OUTSIDE SEGMENT • WHOLE SEGMENT EA • EB = EC • ED

Ex 1: Solve for x E A B C D 7 13 4 x

Ex 1: Solve for x E A B D 8 5 6 x

Ex: 3 Solve for x. E A B C D 2 10 5 x

Tangent-Tangent E B T outside = outside

A C B

T S

Secant-Tangent Tangent2 = outside • whole C B E A A secant and a tangent intersect outside the circle. E A B C Tangent2 = outside • whole

E A B C 24 12

E A B C 15 5 x