1.2 Geometry Definitions

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1.2 Geometry Definitions
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Geometry Symbols
3
Definitions

• Collinear- ________________________________
• Non-Collinear- ____________________________
• Coplanar- ________________________________
• 4. Distance- ________________________________
• __________________________________________

-11
23
4
5. Segment- _____________________________ ________
_______________________________ 6. Ray-
_________________________________ Opp Ray-
_____________________________ ____________________
___________________ 7. Congruent-
___________________________ 8. Midpoint-
_____________________________
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9. Bisector- _____________________________________
-____________________________________ -
____________________________________
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10. Angle- _____________________________________
Acute _____________________________ Obtuse
____________________________ Right
______________________________ Straight
____________________________
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11. Vertical Angles- ____________________________
_______________________________________________
12. Adjacent Angles ___________________________ _
______________________________________________ 13
. Supplementary- ________________________ 14.
Complementary- _______________________ 15.
Perpendicular- _____________________________
1
2
8
16. Plane- __________________________________
_____________________________________________
Note ___________________________________ _______
__________________________________ _______________
__________________________ _______________________
__________________
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Examples
1. There is a Right angle at each corner of
PRST. a) if angle TPO60 RPO ? b) if angle
PTO70 STO ? c) if angle TOP50 POR
?
T
S
O
P
R
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• If CBD DBE and BD bisects CBE
  find
• CAB ?

C
D
X10
X5
60
A
B
E
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3. Solve for y in terms of x.
2
1
12
D
A
B
C
13
J
F
G
H
14
C
1
2
3
B
A
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1.3 and 1.4 Segment and Angle Addition Postulates
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• Define First
• Definition _________________________
• Postulate ___________________________________
• ___________________________________
• Theorem- ___________________________________
• ___________________________________

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Segment Addition Postulate
_______________________________________________ __
_____________________________________________ ____
___________________________________________
A B
C
If B is between A and C then
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Angle Addition Postulate
_______________________________________________ __
_____________________________________________
C
B
B
A
O
A
O
C
If B lies on the interior of angle AOC then
or
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Examples
B is between A and C, with ABx and BC2x5. If
AC35 Find x and BC
A B
C
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K
L
2
3
1
M A T
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1.5 Postulates Theorems
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You do not need to memorize the numbers, just
know what the theorem or postulate says!

• Postulate 5 -
• ______________________________________
• ______________________________________
• _____________________________________

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• Postualte 6
• _______________________________________
• ________________________________________

• Postualte 7
• ________________________________________
• __________________________________________
• __________________________________________

• Postualte 8
• _________________________________________
• __________________________________________

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• Postualte 9
• _____________________________________
• ______________________________________

• Theorem 1.1
• ______________________________________
• _______________________________________

• Theorem 1.2
• _____________________________________
• ______________________________________

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• Theorem 1.3
• ______________________________________
• _______________________________________
• _______________________________________

• Theorem 1.4
• _______________________________________
• ________________________________________
• ________________________________________
• ________________________________________

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• Is TW on plane m?
• Are TSW coplanar?
• Are RWY coplanar?
• Where does XY intersect
• plane m?
• How many lines contain point T and S?
• How many planes contain T, S and X?

x
m
T
S
o
R
W
y
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• Where do planes R S intersect?

A
R
B
s
Name 3 lines that intersect E? Name 2 planes that
intersect at FG? Name 2 planes that dont
intersect? Are points RSGC coplanar?
S
R
G
H
E
F
D
C
A
B