Definitions, Postulates, and Theorems Chapter 1 and 2

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Oct 10, 2013 (4 years and 1 day ago)

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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
.