Parallel Lines and Transversals
Test Review
1. Find m ⁄ Q. (The diagram is not to scale)
m ⁄ Q = _________________
2. Use the diagram to find the following:
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.
___________ 3. m ⁄ 1 = m ⁄ 7
___________ 4. m ⁄ 4 + m ⁄ 5 = 180˚
___________ 5. m ⁄ 2 = m ⁄ 6
6. Solve for x
x = _____________________
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 = 60˚
2. Possible answers:
3. 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.
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