Wednesday, October 5, 2011

2.5 Reasoning Using Properties from Algebra



Goal: Use algebraic properties in logical arguments.

Key Concept


You can use properties of real numbers to write logical arguments about geometric figures like angle measures and segment lengths.

Those that can be applied include the algebraic properties of equality (addition, subtraction, multiplication, division, and substitution), the distributive property and the reflexive, symmetric, and transitive properties of equality (for real numbers, segment length, and angle measure).




Example1: Write reasons for each step.



Example2: Use properties of equality for angles
Example3: Use properties of equality for segments