Definitions, Postulates, and Theorems
Chapter 1 and 2
Angle bisector (def)
A ray is
an
bisector
it divides an
into 2
’
s
.
Linear Pair (def)
2
’s
are a linear pair
they are adjacent
’s
whose noncommon sides are opposite rays.
Midpoint (def)
A point is a midpoi
nt
i
t di
vides a segment into 2
segments.
Perpendicular lines (def)
2 lines are perpendicular
they form 90º
’s
.
Perpendicular bisector (def)
A line is a perpe
ndicular bisector
it is perpendicular to the segment and goes through the segments
midpoint.
Right angles (def)
An
is right
its measure is 90º.
Vertical angles (def)
2
’s are vertical
they are nonadjacent
’s
formed by intersecting lines.
Complementary angles (def)
2
’s
.
are complementary
their sum is 9
0º.
Supplementary angles (def)
2
’s
.
are supplementary
their sum is 180º.
Congruence (def)
Angle Addition Post
angle + angle = angle
Segment Addition Post segment +
segment = segment
The sum of the parts equal the whole.
Linear Pair Theorem
If
2
’s
that form a linear pair
they are supplementary.
Vertical Angles Theorem
If 2
’s
are v
er
tical
they are
.
Right Angles Congruent Theorem
All right
’s are
.
Congruent Complements Theorem
If 2
’s are
complementary
to the same
or
's
they are
.
Congruent Supplements Theorem
If 2
’s are supplementary to the s
ame
or
's
they are
.
If 2
's are supplementary
they are right
’s.
Common Segments Theorem
If 2
segments are formed by a pair of
segments and a shared segment
the resulting segments are
.
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