Proof Companion
Random proof
Theorems
How it works
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Given:
Points C,E,B and A,E,D are collinear
Prove:
AE / CE = AB / CD
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Clear drawing
Drag these
△AEB ~ △CED
AE / CE = AB / CD
Inscribed angle measures half its intercepted arc
Substitution
∠DAB=(1/2) * (arc DB) and ∠DCB=(1/2) * (arc DB)
Definition
∠AEB = ∠CED
∠DAB =∠DCB
AA similarity
Statements
Reasons
Vertical angles are equal