# Definitions, Postulates, and Theorems Chapter 1 and 2

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10 Οκτ 2013 (πριν από 4 χρόνια και 7 μήνες)

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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
’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

’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 + angle = angle

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
.