Parallel Lines and Transversals
Test Review
**Test is on Monday, 10/24**
1.
Find m ⁄ Q. (The diagram is not to scale)
Q
R
70°
50°
m ⁄ Q = _________________
2.
Use the diagram to find the following:
t
1
2
4 3
5 6
8 7
l
k

a pair of corresponding angles: _____________________________________

a pair of alternate interior angles: _________________________________

a pair of alternate exterior angles: _________________________________

a pair of same-side interior angles: ________________________________
Name the postulate or theorem that proves l || k for the given
information.
Use the diagram below and the answer choices for #s 3-5.
t
___________ 3. m ⁄ 1 = m ⁄ 7
1
2
4 3
___________ 4. m ⁄ 4 + m ⁄ 5 = 180˚
5 6
8 7
l
k
___________ 5. m ⁄ 2 = m ⁄ 6
a. If two parallel lines are cut by a transversal, then the pairs of corresponding
angles are congruent.
b. If two parallel lines are cut by a transversal, then the pairs of alternate
interior angles are congruent.
c. If two parallel lines are cut by a transversal, then the pairs of alternate
exterior angles are congruent.
d. If two parallel lines are cut by a transversal, then the same-side interior
angles are supplementary.
6.
Solve for x
x = _____________________
(2x  2)
(3x)
7.
If m ⁄ 8 = 107˚, what is the sum of the m ⁄ 1 and m ⁄ 4?
m ⁄ 1 + m ⁄ 4 = _______________________
8.
Construct two parallel lines. Label line r parallel to line q
9.
Using the following conditional statement
If two lines are parallel, then the corresponding angles are congruent.
Write the following:
Hypothesis (p): ___________________________________________________________________________
Conclusion (q): _______________________________________________________________________________
Converse: __________________________________________________________________________________
Inverse: ____________________________________________________________________________________
Contrapositive: ___________________________________________________________________________
Parallel Lines and Transversals
Test Review
Answer Sheet
1.
m ⁄ Q =
2.
Possible answers:




3.
60˚
a pair of corresponding angles: ⁄ 1 and ⁄ 5
a pair of alternate interior angles: ⁄ 4 and ⁄ 6
a pair of alternate exterior angles: ⁄ 2 and ⁄ 8
a pair of same-side interior angles: ⁄ 3 and ⁄ 6
c. If two parallel lines are cut by a transversal, then the pairs of alternate
exterior angles are congruent.
4.
d. If two parallel lines are cut by a transversal, then the same-side interior
angles are supplementary.
5.
a. If two parallel lines are cut by a transversal, then the pairs of
corresponding angles are congruent.
6.
x=2
7.
m ⁄ 1 + m ⁄ 4 = 214˚
8.
See printed out notes I gave you on constructing parallel lines.
9.
Hypothesis (p): two lines are parallel
Conclusion (q): the corresponding angles are congruent
Converse: If corresponding angles are congruent, then two lines are parallel.
Inverse: If two lines are not parallel, then the corresponding angles are not
congruent.
Contrapositive: If the corresponding angles are not congruent, then two lines are
not parallel.