Given: Points C,E,B and A,E,D are collinear
Prove: AE / CE = AB / CD
Click or touch to draw on the diagram
Substitution
∠AEB = ∠CED
Inscribed angle measures half its intercepted arc
∠DAB =∠DCB
AA similarity
Definition
∠DAB=(1/2) * (arc DB) and ∠DCB=(1/2) * (arc DB)
AE / CE = AB / CD
△AEB ~ △CED
Vertical angles are equal