Finding the Value of a Variable with 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
Drag & drop the correct
 answer to the table and
 the incorrect answer to
 the blue box. 
p // r
Same-Side Interior ∡'s are congruent
?
Corresponding ∡'s are congruent
?
p
r
not used =
1
reasons
2
given
Multiple ChoiceGiven: p || r
Prove: ∡1 ≅ ∡2
statements
∡1 ≅ ∡2
Drag & drop the correct
 answer to the table and
 the incorrect answer to
 the blue box. 
p // r
p
r
1
2
Alternating Exterior Angles are 
congruent
?
Alternating Interior Angles are 
congruent
?
reasons
Given
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
2x - 4
2
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
∡1 ≅ ∡2
Drag & drop the correct
 answer to the table and
 the incorrect answer to
 the blue box. 
p // r
statements
p
r
1
2
Alternating Exterior Angles are 
congruent
?
Alternating Interior Angles are
congruent
?
reasons
given
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
Drag & drop the correct
 answer to the table and
 the incorrect answer to
 the blue box. 
p // r
p
r
1
2
Same Side Interior Angles are
supplementary
?
Alternating Interior Angles
are congruent
?
not used:
reasons
given

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

a
b
7x + 11
5x + 1
x = 

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

a
b
2x -15
x = 
1
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