Part: 3

Given: Circle O, chords AB and CD intersect at E
Statement 1. Circle O, with chords AB and CD intersecting at E
Reason1. Given
Theorem: If two chords intersect in a circle, the
product of the lengths of the segments of one chord
is equal to the product of the lengths of the
segments of the other chord. Prove this theorem by
proving AE-EBCE ED
S2. Draw in chords CB and AD
R2. two points determine a segment (any 2 points can be connected with a
segment)
S3: CEB and R3: Intersecting lines form vertical angles
S6:
R6:
S4: R4:
S: Triangle CEA and Triangle AED are
RS: AAV
- ED/EB
S7: (AE) (EB) = (CE)(ED)
R7:
which are congruent