The study of congruent triangles in geometry offers a captivating exploration of the properties and relationships between shapes. Congruent triangles, having equal side lengths and angle measures, serve as a cornerstone for understanding and proving geometric theorems. Our website examines the criteria for congruence, such as Side-Side-Side (SSS) and Angle-Side-Angle (ASA), and their applications in fields like engineering, architecture, and design. By mastering congruent triangles, students unlock a deeper comprehension of geometry and learn to leverage these principles to solve real-world problems, enhancing spatial awareness and creative potential.
Lessons
4.1 – Congruent Figures & Triangles
4.2 – Congruent Triangles Proofs
4.3 – The Isosceles Triangle Theorem
4.4 – AAS & HL Theorems
4.5 – Using More Than One Pair of Congruent Triangles
4.6 – Regents Proofs Review
4.7 – Median, Altitude, Perpendicular Bisector
4.8 – Perpendicular & Angle Bisector Theorem