The Pythagorean Theorem is a useful tool for solving problems and calculating distances between two points. This module covers the basics of this concept, as well as its applications in real-life situations and similar shapes. By understanding the Pythagorean Theorem, you can: - Solve for the lengths of different sides - Derive the distance formula using Pythagorean Theorem - Identify similar shapes & calculate the scale factor - Find unknown lengths in similar shapes - Compare the scale factor of length & area - Calculate areas & lengths of similar solids - Understand the concept of congruent shapes - Compare congruent triangles & understand postulates (SAS, ASA, SSS, RHS) - Prove that triangles are congruent using postulates - Solve complex problems using postulates