In the triangle shown, BC is parallel to DE. E B A two-column proof is provided to prove that DE divides BA and CA proportionally. Step Statement Reason 1 BC is parallel to DE: Given 2 ZBAC E ZDAE ? 3 ZABC 2 LADE Corresponding angles are congruent. 4 ABAC - ADAE Angle-Angle (AA) Similarity Corresponding sides of similar triangles are proportional. ? AD + DB = AB 6 Segment Addition Postulate AE + EC = AC AD + DB AE + EC 7 Substitution AD AE DB ЕС 8 Subtraction Property of Equality AD AE 5

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.