1.5 angle pairs

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Bellwork Quiz
1. What is the intersection of plane YXW and
plane UTV?
2. Is R on plane STW?
3. B is between D and E. If DE = 2.5 and BD = 1.3,
what is BE?
1.5a Angle
Relationships
Students will be able to identify if two angles are
adjacent, vertical, supplementary, complementary
or a linear pair.
Angle Pairs
Special Pairs
Definition Keyword
Adjacent
Next to
Side by side
Complementary
Add up to 90 degrees
supplementary
Add up to 180 degrees
Linear pair
Two angles that make a
straight line
Vertical angles
Across from each other
Example
See above picture
Name Game
• For each pair of angles, determine
their relationship.
• List ALL that apply.
#1
•
#2
•
#3
•
#4
•
#5
•
Example 1
K
L
2
3
4
O
1
D
5
M
N
Draw the diagram and name the following:
a) Vertical angles:
b) Obtuse vertical angles:
c) Linear Pair:
d) Complementary angles:
e) Supplementary angles:
Perpendicular (Defn)--Toolbox
• If two lines (segments, rays) form a
90° angle, then they are
perpendicular (  ).
Example 2
• Find x so that
DZ  ZP
.
Example 3
• If two angles are supplementary and one angle is
18 less than the other angle, find the measure
of both angles.
Ticket to Leave
1.
2.
3.
4.
Name an angle adjacent to HKJ .
Name an angle vertical to EKH .
Name an angle that forms a linear pair with JKG.
Name an angle that is supplementary to EKF .
Homework
Worksheet
Quiz TOMORROW over 1.4 & 1.5
Adjacent Angles (Defn)
Example
Non-example
SRT & SRU
SRT & TRU
are adjacent angles
they overlap
Pairs of Angles (cont’d)
4.
Vertical angles- nonadjacent angles formed by two intersecting lines.
Key word: ___________________
Example
Non-example
1
<1 and <3
not adjacent
2
D
<2 and <4
If two angles are vertical, then ______________________
Pairs of Angles (cont’d)
5.
Linear Pair- adjacent angles whose noncommon
sides are opposite rays. The angles form a linear
pair. Key word: _______.
Example
Non-example
not straight
1
5& 6
2
D
If you have a linear pair, then ______________________
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