Chapter 5: Similar Triangles 5.1: ratio, Rate, Proportions 5.2: Similar Polygons 5.3: Proving Triangles Similar 5.4: The Pythagorean Theorem 5.5: Special Right Triangles 5.6: Segments divided Proportionally. Ratio π Is a quotient π . Rate: Is a quotient that relates two quantities that ar incommensurale Commensurable quantities Is Incommensurable quantities Is Proportion: Is a statement that equates two ratios or two rates Property 1 π π In a proportion, the product of the means equals the product of the extremes; that is, if π = π, then π β π = π β π. Definition: π π In a proportion, the product of the means equals the product of the extremes; that is, if = , then π β π = π β π. π π Definition The nonzero number b is the geometric mean of a and c if π π π = π , or π π π =π. Property of Extended Ratio: Unknown quantities in the ratio π: π = π: π can be represented by ππ₯, ππ₯, ππ₯, and ππ₯. Property 2 β Alternative Forms of Proportions In a proportion, the means and the extremes (or both) may be interchanged; that is, if Property 3 β Sum and Difference Properties of a Proportion π π π+π π+π πβπ πβπ If π = π ,(when π β 0 and π β 0), then π = π , and π = π . π π π π π = π , π = π , or π π π =π.
© Copyright 2026 Paperzz