Geo: 2.5 Day2 Parallel Lines and Transversals
Given that r // s and transversal t cuts through r and s. Which angle(s) are congruent to ∡7?check all that apply
s
r
t

2

4
1
3
5
∡1
∡2
∡3
∡4
7
6
8
p
Which angle is alternate interior with ∡4?
m
t

2

4
1
3
5
7
6
8
Which is the correct reasonfor statement #2Given: p // rProve: ∡1 ≅ ∡2
1
2
statements
∡1 ≅ ∡2
p // r
Corresponding ∡'s Post
?
reasons
given
p
r
Same-Side Interior ∡'s
?
1
2
not used =
Multiple ChoiceGiven: p || r
Prove: ∡1 ≅ ∡2
statements
∡1 ≅ ∡2
p // r
p
Alternating Exterior Angle Thm
?
r
reasons
given
?
1
2
Alternating Interior Angle Thm
?
not used:

Given a // b find the m ∡ 5

a
b
m∡5=

42o

o
5

If a // b find the value of x

 and then find the measure ∡2

a
b
10x - 4
2
8x + 20
m⊾2=
x = 
o

If a // b and m∡4 is 117,

 what is the measure of m∡5?

a
b
m∡5=

2

4
1
3
5
7
6
o
8
Multiple ChoiceGiven: p // r
Prove: ∡1 ≅ ∡2
statements
∡1 ≅ ∡2
p // r
p
Alternating Exterior Angle Thm
?
r
reasons
given
?
1
2
Alternating Interior Angle Thm
?
not used:
a
b

2

4
1
3
5
7
If a // b then ∡4 and ∡5 are:
6
8
Complementary

Congruent

Straight

Supplementary

a
b

2

4
1
If a // b then ∡1 and ∡6 are:
3
5
7
6
Complementary

Congruent

Straight

Supplementary

8
Multiple ChoiceGiven: p || r
Prove: ∡1 + ∡2 =180
∡1 + ∡2 =180
statements
p // r
p
Same Side Interior Angle Thm
?
r
reasons
given
?
1
2
Alternating Interior Angle Thm
?
not used:

If a // b use the given information to find the value of x

then find the measure of the smaller angle

a
b
7x + 11
smaller angle=
5x + 1
x = 
o

If a // b use the given information to find the value of x

then find the measure of the angles.

a
b
10x -15
m∡=
x = 
8x + 1
o
Identify the angle pairs below. 
6
not used = 
∡6 & ∡2=
∡2 & ∡5=
∡1 & ∡3=
c
Alternating Interior ∡'s
?
Vertical ∡'s
?
Corresponding ∡'s
?
Same Side Interior ∡'s
?
1
2
4
3
5
b
a
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