Congruent Triangles; Right-Angle Triangles; Quadrilaterals; Circumcenter; Angle Bisector; Incenter and Excenter; Similar Triangles; Area of Triangles; Intercept Theorem; Pythagoras' Theorem; Ceva's Theorem; Centroid and Orthocenter; Menelaus' Theorem; Circles and Angles; Simson's Line; Nine-point Circle; Intercept Chord Theorem; Tangent-Secant Theorem; Radical Axes; Commonly-Used Facts; Geometry Problems in Competitions (Searching for Clues and Insights; Developing Strategies).
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