# Chapter 2: Postulates and Theorems

Ηλεκτρονική - Συσκευές

10 Οκτ 2013 (πριν από 4 χρόνια και 9 μήνες)

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Chapter 2: Postulates and Theorems

Through any two points there exists exactly one line.

A line contains at least two points.

If two lines intersect, then their intersection is exactly one point.

Through any three noncollinear points there exists exac
tly one plane.

A plane contains at least three noncollinear points.

If two planes intersect, then their intersection is a line.

If two points lie in a plane, then the line containing them lies in the
plane.

Law of Detachment: If p

q is a true statem
ent and p is true, then q is
true.

Law of Syllogism: If p

q and q

r, then p

r.

Statement:

If
H
, then
C
.

p

q

Inverse:

If not
H
, then not
C
.

~p

~q

Converse:

If
C
, then
H
.

q

p

Contrapositive:

If not
C
, then not
H
.

~q

~p

Right Angl
es Theorem:
All right angles are congruent.

Linear Pair Postulate:
If two angles form a linear pair, then they are
supplementary.

Vertical Angles Theorem:
Vertical angles are congruent.

The Congruent Complements Theorem: If two angles are
complement
ary to the same angle (or to congruent angles), then the
two angles are congruent.

The Congruent Supplements Theorem: If two angles are
supplementary to the same angle (or to congruent angles), then the
two angles are congruent.