1. Segment Lengths in Circles

2. Go down the chord and multiply
Two chords intersect
INSIDE the circle
Type 1:
part
part
part
part
Emphasize that the chords are NOT congruent or bisected!
Go down the chord and multiply

3. Sometimes you have to add to get the whole.
Two secants intersect
OUTSIDE the circle
Type 2:
Sometimes you have to add to get the whole.

4. Solve for x. 20
x = 31 7 4 x 7
(20) =
(4 + x) 4
140 = x
124 = 4x

5. x = 11.8 Solve for x. x 5 8 6 6 (6 + 8) = 5 (5 + x) 84 = 25 + 5x

6. x = 6 Solve for x. 10 x 4 8 x (x + 10) = 8 (8 + 4) x2 +10x = 96

7. Type 2 (with a twist):
Secant and Tangent

8. x = 36 Solve for x. 242 = 12 (12 + x) 576 = 144 + 12x 432 = 12x x 12

9. Solve for x. 5 15 x
x = 10 x2 = 5
(5 + 15)
x2 = 100