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Intro to included and opposite angles/sides
供稿人: Heinrich
A triangle is made upof 3 angles and 3 segments (also called sides).
The name of this triangle is    ABC
A
C
B
Included angle
is the first concept.
Please draw and write this down!
Angle C
is included by       and
A
AC         BC
C
B
An easy way to rememberthis is to think of allof the parts that makeup angle C.

Please draw and write this down!
Angle C
is included by       and
A
AC         BC
C
B
Included side
is the second concept.
Please draw and write this down!
AC
is included by             and
A
angle A       angle C
C
B
An easy way to rememberthis is to look at the angles at the end of the segment (side).
Please draw and write this down!
AC
is included by             and
A
angle A       angle C
C
B
Opposite sides and angles

is the third concept.
Please draw and write this down!
AB
is opposite angle C.
A
C
B
An easy way to remember this is to image you have your back up against the corner at C.  What wall would you be looking at? 

Please draw and write this down!
AB
is opposite angle C.
A
C
you
B
Please draw and write this down!
Angle A is opposite      .
A
BC
you
C
B
Now that you have recorded the notes, I will 
ask you to answer the following questions 
regarding included and opposite.
P
Mark ALL that are correct.
R
Q
opposite RQ
included by PR and RQ
included by RP and QP
opposite QP
Angle P is
P
Mark ALL that are correct.
R
We will use '<' (is less than symbol) 
as the angle symbol
Q
opposite < Q
included by < Q and < R
included by < R and < P
opposite < P
RQ is
L
J
included by JK
opposite < K
opposite JL
included by JL and JK
K
< J  is
L
J
Use the < symbol for angle and include a space.
K
JK
   is opposite
L
J
Use the < symbol for angle and include a space.
K
List your answers alphabetically
opposite to 
included by
KJ is
and
Z
X
Y
 < Y is opposite XZ and included by XZ and YZ
YZ is opposite < X andincluded by  < Y and < Z
XZ is included by < X and < Z, and opposite < Y
< X is opposite YZ andincluded by XY and XZ
L
J
use the < symbol for angle and include 
a space
K
opposite to 
included by
KJ is
H
F
G
HG is opposite < F andincluded by HF and FG
HF is included by < F and < H, and opposite < G
 < F is opposite HG and included by GH and FH
< G is opposite HF andincluded by HG and FG
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