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AB and AC are tangent to a circle O (see figure below). Chord BF is parallel to a secant ADE. If chord CF meets ADE at H, prove that (1) OH is perpendicular to ADE, (2) H is the midpoint of DE.

Home | Search | Geometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery | Art | 931-940 | Circle | Circle Tangent Line | Secant | Parallel lines | Perpendicular lines | Midpoint | by Antonio Gutierrez

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