1.2 Geometry Definitions

Geometry Symbols

m

1.Collinear- ________________________________

2.Non-Collinear- ____________________________

3.Coplanar- ________________________________

4. Distance- ________________________________

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Definitions

-11 23

5. Segment- _____________________________

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6. Ray- _________________________________

Opp Ray- _____________________________

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7. Congruent- ___________________________

8. Midpoint- _____________________________

9. Bisector- _____________________________________

-____________________________________

-____________________________________

10. Angle- _____________________________________

Acute: _____________________________

Obtuse: ____________________________

Right: ______________________________

Straight: ____________________________

11. Vertical Angles- ____________________________

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12. Adjacent Angles: ___________________________

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13. Supplementary- ________________________

14. Complementary- _______________________

15. Perpendicular- _____________________________

12

Note: ___________________________________

_________________________________________

_________________________________________

_________________________________________

16. Plane- __________________________________ _____________________________________________

Examples

1. There is a Right angle at each corner of PRST.a) if angle TPO=60: RPO= ?b) if angle PTO=70: STO= ?

c) if angle TOP=50: POR= ?

T S

O

PR

1. If CBD DBE and BD bisects CBE find

CAB= ?

C

A B E

D

X+5

X+10

60

3. Solve for y in terms of x.

1 2; 1 14; 2 3m x m y

1

2

4. 3 ; ; m ABDm ABD x m DBC x Find

A B

D

C

5. 3 5; 27; bisects

m FGJ x m JGH x GJ FGH

Find m FGJ

F

G

J

H

6. 90; 1 2 10; m 2=x+20; m 3=3x

m ABC m x

Find x

C

BA

12

3

1.3 and 1.4 Segment and Angle Addition Postulates

Define First:

•Definition: _________________________

•Postulate: ___________________________________

___________________________________

•Theorem- ___________________________________

___________________________________

Segment Addition Postulate

_______________________________________________

_______________________________________________

_______________________________________________

A B C

If B is between A and C then:

Angle Addition Postulate

_______________________________________________

_______________________________________________

A

If B lies on the interior of angle AOC then:

or

C

B

O

B

A O C

Examples

B is between A and C, with AB=x and BC=2x+5. If AC=35: Find x and BC

A B C

M A T

K

L

bisects . .AL KAT Find the value of x��������������

1. 1 3 ; 2 4 15m x m x

2. 2 6; 3 4m x m x

32

1

1.5 Postulates &Theorems

You do not need to memorize the numbers, just know what the theorem or postulate says!

Postulate 5 -

•______________________________________

•

•______________________________________

• _____________________________________

Postualte 6:

• _______________________________________

________________________________________

Postualte 7:

• ________________________________________

__________________________________________

__________________________________________

Postualte 8:

• _________________________________________

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Postualte 9:

• _____________________________________

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Theorem 1.1:

• ______________________________________

_______________________________________

Theorem 1.2:

• _____________________________________

______________________________________

Theorem 1.3:

• ______________________________________

_______________________________________

_______________________________________

Theorem 1.4:

• _______________________________________

________________________________________

________________________________________

________________________________________

x

T S

R W

y

m•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?

o

R

s

A

B

•Where do planes R & S intersect?

E

R

S

AB

CD

H G

F

Name 3 lines that intersect E?

Name 2 planes that intersect at FG?

Name 2 planes that don’t

intersect?

Are points RSGC coplanar?