FINAL EXAM REVIEW
Chapters 1-2
Key Concepts
Chapter 1 Vocabulary
equidistant
point
line
plane
collinear
coplanar
intersection
segment
ray
distance
angle
acute
obtuse
right angle
postulate
theorem
Segment Addition Postulate

If B is between A and C, then…
AB + BC = AC.
C .
B .
A .
Angle Addition Postulate
• If Point B lies in the interior of AOC,
then m AOB + m BOC = m AOC
Angle Addition Postulate
PART 2
• If Point B lies in the interior of straight
AOC, then m AOB + m BOC = 180
Postulate 6
 Through
any two points there is
exactly one line.
A
B
.
.
Postulate 7
 Through
any three noncollinear
points there is exactly one plane.
.B
.C
.A
Postulate 8
 If
two points are in a plane, then the
line that contains the points is in the
plane.
A
.
B
.
Postulate 9
 If
two planes intersect, then their
intersection is a line.
B
A
.
.
Theorem 1.1
If
two lines intersect, then
they intersect in exactly one
point.
A
.
Theorem 1.2
 Through
a line and a point not in the
line, there is exactly one plane.
A
.
Theorem 1.3
If
two lines intersect, then
exactly one plane contains
the lines.
Chapter 2 Vocabulary
if-then statement
hypothesis
converse
midpoint
congruent
complementary <‘s
supplementary <‘s
adjacent <‘s
perpendicular
proof
POE’s and POC’s
► addition
► subtraction
► multipl./division
► distributive
► reflexive
► symmetric
► transitive
Midpoint Theorem

If M is the midpoint of AB ,
then AM = (1/2)AB and MB = (1/2)AB
A
.
M
.
B
.
How is this different from the midpoint
defn.?
Key: The midpoint theorem uses ½.
Angle Bisector Theorem

If BX is the bisector of
ABC , then
1
1
mABX  mABC and mXBC  mABC
2
2
.
A
.
X
.
B
.
C
How is this different from the angle bisector defn.?
Key: The theorem uses ½.
Theorem
Vertical angles are congruent.
7

3
1
2
‘s
2
Think:
What do you
know about the sum of the
measure of supplementary
‘s 1 and 3 ? The sum = 180
7
7
1
2 are vertical
7
7
7
Prove:
1 and
7
Given:
‘s 2 and 3 ?
The sum = 180
Perpendicular Line Theorems
• If two lines are perpendicular, then they form
congruent adjacent angles.
lines
adj. ' s
• If two lines form congruent adjacent angles,
then the lines are perpendicular.
. M
lines
 adj. ' s

J
Example
.
If m 1  m  2 ,
Because
 adj, ' s form
MN
JK
lines
K
1
2
4
3
.
N
.
Theorem
• If the exterior sides of two adjacent angles are
perpendicular, then the angles are
complementary.
Ext. sides of 2 adj. ' s
comp. ' s
A
.
If OA
OC, then…
1 and 2 are complementary.
O
B
.
1
.
2
.
C
7
Theorem:
Supplements of Congruent
‘s
Supplements of congruent angles (or the same
angle) are congruent.
1 and
3 are
7
7

Then
2
and 4 are
also 
7
If
2
3
4
7
1
7
Theorem:
Complements of Congruent
‘s
Complements of congruent angles (or the same
angle) are congruent.
1 and
3 are
7
7

Then
2
and 4 are
also 
7
If
2
3
4
7
1
Homework
► pg.
70-71 all