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1965 AMC 12 Question 30

AMC12 · 1965 AMC 12

Question 30

Let $BC$ of right triangle $ABC$ be the diameter of a circle intersecting hypotenuse $AB$ in $D.$ At $D$ a tangent is drawn cutting leg $CA$ in $F.$ This information is *not* sufficient to prove that:

Question illustration
  1. $DF$ bisects $CA$
  2. $DF$ bisects $\angle CDA$
  3. $DF=FA$
  4. $\angle A=\angle BCD$
  5. $\angle CFD=2\angle A$