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### 15 Cards in this Set

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 Undefined terms Some concepts central to geometry are not defined in terms of simpler concepts. The most familiar of these undefined terms are point, line, and plane. basic things of geometry Defined Terms Undefined terms can be combined to define other terms. A line segment is the portion of a line that includes two particular points and all points that lie between them Build from... Logic The basis of all geometric thinking Where does geometry start Postulates Postulates, or axioms, are unproven but universally accepted assumptions, such as “there is one and only one line that passes through two distinct points Think accepted but.... Theorems Theorems are logically deduced from postulates. This process of deduction is called a proof. Each step of a proof must be justified by one of the postulates or by a theorem that has already been proved. Think proof The difference week theorems and definitions Theorems are IF- Then statements that are not reversible. Definitions are reversible Which are revesible All right angles are congruent If tow angles are right angles then they are congruent and have 90 degrees 90... Complements of the same angle are congruent If two angles are each complementary to a third angle then they are congruent to each other. Three angles Coplements of congruent angles are congruent If two angles are complementary to two other angles then they are congruent. Four angles Supplements of the same angle are congruent If two angles are each supplementary to a third angle then they are congruent to each other. Three angles Supplements of congruent angles are congruent If two angles are complementary to two other angles then they are congruent. Four angles Segment Addition - Three segments If a segment is added to two congruent segments then the sums are congruent Angle Addition - Three angles If an angle is added to two congruent angles then the sums are congruent Segment Addition - Four segments If two congruent segments are added to two congruent segments then the sums are congruent Angle Addition - Four angles If two congruent angles are added to two congruent angles then the sums are congruent