9.1 Geometry Handout

MG
GF 1106 9.1
1 Geometrry Terms, Names, & Symbolss
1 – 8: Give th
he appropria
ate symbol and
a method
ds for namin
ng each of th
hese geomettric shapes::
1. P
Point: Locattion or possition
2. Line: Set of
o points th
hat extend
d indefinitely in 2 opp
posite direcctions
hat form a flat surface
e which exteends in all d
directions off the flat su
urface
3. Plane: set of points th
SU
UBSETS OF
F LINES:
4. Half Line: any point
p
on a line separ
rates a line into 2 hallf lines
5. Ray: a half line and the endpoint
e
6. Linee Segment (o
or segment): subset of a line betweeen 2 distin
nct points IN
NCLUDING endpts
7. Open
n Segment: subset of a line betw
ween 2 disttinct pointts NOT INC
CLUDING e
endpts
8. Halff-opened seg
gment: subseet of a line between 2 distinct p
points INCL
LUDING on
ne endpt

A

A) FE  FG =

B

FE  FG =

B) AD  BC =

AD  BC =
C
 
A  BE =
C) BA




D CB =
D) BD
BD
D CB =
D
PL
LANE: (pg. 482)
4
1. Paralleel lines – linees in the sam
me plane thatt do not interrsect
2. Skewed
d lines – linees that are no
ot in the sam
me plane thatt do not interrsect
3. A line separates
s
a Plane
a.
b.
4. Any lin
ne and a poin
nt not on the line determiines ____________________
5. Possible intersectio
on of 2 Planees
a.
b.
c.
AN
NGLES
1. Union of 2 non-co
ollinear rayss with a com
mmon endpooint
2. Measu
ures part off the plane in the interio
or of the an
ngle
3. Measurres in degreees (can be in
i radians, gradients)
g
Measurem
ment
Picture
Acute
Right
Obtuse
Straight
PAIRS OF ANGLES
Adjacent An
ngles
Vertical Ang
gles
Complemen
ntary Angless
Supplementtary Angles
Measurem
ment
picture
Exeercises: Usiing the diagrram at the rig
ght give 1 ex
xample of:
A
B
a. A
An acute ang
gle
O
b. A
An obtuse an
ngle
F
c. A right anglee
1
E
d. A straight an
ngle
e. A pair of:
1. Adjacent angles
2 . Complemeentary angless
3. Suppleementary an
ngles
4. Vertical anggles
U
Use the diagraam at the rig
ght to solve the
t following
g
1. If m  2 = 20, m 3
3=?
2. If m  3 = 42, m  4 = ?
D
Determine thee value for x if:
3. m  3 = 6x – 4, m  5 = 9x – 19
4. m  4 = 2x + 50, m  5 = 7x + 10
Ex. If 1 and  2 are supp
plementary angles,
a
find the
t measuree of the 2 anggles.
2x+30
0
x
C
D
PA
ARALLEL LINES
L
CUT
T BY A TRA
ANSVERSA
AL
If l1 and l2 are parallel lin
nes cut by a transversal
t
(C
C):
"Congruennt" Angles fo
formed by paarallel lines
Coorrespondingg Angles
1
3
5
7
2
l1
4
Altternate Interrior Angles
6
l2
8
Altternate Exteerior Angles
Exercises:
A. If m  1 = 150, m  5 = ______
If m 1 = 150,
1
m  4 = _______
Which otheer angle meaasures 150 ? _______
m  2 = m  3 = m  6 = m  7 = ________
B. If m  6 = 40, determiine:
___
m  1 ____
m  2 = ______
__
m 3 = _______
___
m  4 = _____
m  5 = ______
_
m  7 = ________
m  8 = _____
___
.