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15 Cards in this Set
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 Back
 3rd side (hint)
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

