What's inside this PDF: Ratio of Areas of Two Triangles: General properties and special cases (equal bases or equal heights). Basic Proportionality Theorem (BPT): Complete theorem statement, its core mathematical formulation, and its geometric converse. Important Properties: The Triangle Angle Bisector Property and the Properties of Intercepts made by three parallel lines. Similarity Tests: Concise criteria details covering AA / AAA, SAS, and SSS similarity tests. Areas of Similar Triangles Theorem: Ratios involving squares of corresponding sides. Quick Summary Sheet: A neat table mapping out every core formula for quick revision right before examinations.