Linear Pairs

1. Geometry Warm Up: Pg. 131 # 12 to 15

2. 12
< 1 + < 2 = 180°
C-1: Linear Pair:
If 2 angles form a linear pair then they add up to
180°

3. 1
2
3
4
< 1 ≅ < 3 < 2 ≅ < 4and
C-2: Vertical Angles:
If 2 angles are vertical then, they are congruent

4. If you accept Linear Pair conjecture then
thru DEDUCTIVE Reasoning-you can prove
that Vertical angles are ≅ .
1
2
3
4
Linear Pair: <1 + <2 = 180°
<2 + <3 = 180°
<3 + <4 = 180°
<4 + <1 = 180°
If true then other angles
must be ≅ . ΤΗΙΝΚ!
<2 = <4 therefore:
<1 must = <3 and so on.

5. Note: Protractors will NOT work for these
problems!!
You MUST know the rules to solve!
Try it!
1
2
3
m< 1 = Why?
m< 2 = Why?
m< 3 = Why?
Your perspective matters!!
52°

6. Try this one!!
42°
50°
45°
ab
c
d
ef
g
hj
k
m
93°