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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