Transcript 1.5 angle pairs - Student Copy

Bellwork
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
Example
Non-Example
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:
Example 2
• The mA  47 , what is the measure of its…
Complement?
Supplement?
Perpendicular (Defn)--Toolbox
• If two lines (segments, rays) form a
90° angle, then they are
perpendicular (  ).
Example 3
• Find x so that
DZ  ZP
.
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
Adjacent Angles (Defn)
Example
SRT & TRU are adjacent angles
Non-example
SRT & SRU they overlap
Pairs of Angles (cont’d)
Vertical angles- nonadjacent angles formed by two intersecting lines.
Example
Non-example
not adjacent
1
2
D
<1 and <3
<2 and <4
If two angles are vertical, then ______________________
Pairs of Angles (cont’d)
Linear Pair- adjacent angles whose noncommon sides
are opposite rays. The angles form a linear pair.
Example
Non-example
1
- not straight
2
D
5& 6
If you have a linear pair, then ______________________