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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