Diagrams are NOT to scale.
Sheet GQ1-10
1
Name:___________________________________________
Date:________________________
Mr. Carman
Focus: Linear Pair, Adjacent Angles, Vertical Angles
Do Now: (Review) In each case, find the value of x:
a]
b]
c]
o
100o xo
(13x+38)o
(9x+10)
(4x)o
(5x)o
---------------------------------------------------------------------------------------------------------------------------1) Each set of angles from the DO NOW represents a linear pair. How would you define a linear pair?
2) Adjacent angles are angles that are right next to each other.
***Adjacent angles SHARE ONE COMMON _____________________.
B
C
A
E
Name 2 pairs of adjacent angles.
D
Name a pair of angles that are NOT adjacent.
Diagrams are NOT to scale.
Sheet GQ1-10
3) Refer to the diagram below:
B
C
A
G
D
F
E
a] Name 3 line segments.
b] Name 3 rays.
c] Is ‘AGB adjacent to ‘BGC ?
d] Is ‘AGB adjacent to ‘AGF ?
e] Is ‘AGB adjacent to ‘DGE ?
f] Is ‘FGE adjacent to ‘EGD ?
g] Is ‘BGC adjacent to ‘CGD ?
h] Is ‘AGF adjacent to ‘BGC ?
i] Is ‘AGB adjacent to ‘BGD ?
j] Is ‘AGF adjacent to ‘AGC ?
4) Can you name a pair of vertical angles in the diagram below?
Vertical angles are formed by intersecting lines.
B
A
E
C
D
Vertical angles sit directly _______________________ each other.
Two vertical angles will make a perfect X!!!
Two vertical angles will make a perfect X!!!
Two vertical angles will make a perfect X!!!
Two vertical angles will make a perfect X!!!
Two vertical angles will make a perfect X!!!
Two vertical angles will make a perfect X!!!
2
Diagrams are NOT to scale.
Sheet GQ1-10
Oh, and BTW… Two vertical angles will make a
PERFECT X!!!
5) Use the diagram below to answer each part:
A
B
C
G
F
D
E
a] Are ‘AGB and ‘EGD vertical angles?
b] Are ‘AGF and ‘CGD vertical angles?
c] Are ‘BGC and ‘FGE vertical angles?
d] Are ‘CGD and ‘FGE vertical angles?
e] Are ‘BGD and ‘AGE vertical angles?
f] Are ‘FGD and ‘BGC vertical angles?
g] Name the angle that is vertical to ‘BGC .
h] Name the angle that is vertical to ‘EGD .
i] Name the angle that is vertical to ‘BGF .
j] Name the angle that is vertical to ‘CGE .
6) Fill in all missing angle measures:
120o
3
Diagrams are NOT to scale.
Sheet GQ1-10
4
OMGosh…
That means that 2 vertical angles are always _________________________________ to each other!!!
---------------------------------------------------------------------------------------------------------------------------7) Fill in all missing angle measures:
98o
110o
8) Fill in all missing angle measures:
A
B
C
50o
60o
F
D
E
9) What is the value of x in the diagram below?
(3x-13)o
10) What is the value of x in the diagram below?
(2x+19)o
(5x+17)o
(2x+83)o
Diagrams are NOT to scale.
Sheet GQ1-10
11) What is the value of x in the diagram below?
12) What is the value of x in the diagram below?
(15x-9)o
(2x+70)o
(7x)o
(5x)o
13) Use the diagram below to answer each part:
T
U
V
A
Y
W
X
a] Name the angle that is vertical to ‘TAY .
b] Name the angle that is vertical to ‘UAV .
c] Name the angle that is vertical to ‘XAW .
d] Name the angle that is vertical to ‘TAU .
e] Name the angle that is vertical to ‘VAW .
f] Name the angle that is vertical to ‘YAX .
g] Name the angle that is vertical to ‘TAX .
h] Name the angle that is vertical to ‘TAU .
i] Are ‘TAU and ‘UAW a linear pair?
j] Are ‘VAW and ‘YAX a linear pair?
5