1. For the figure shown, decide if m || n.
A. Yes, m || n because the labeled angles are supplementary corresponding angles.
B. No, line m is not parallel to line n because the labeled angles are corresponding angles, but they are not congruent.
C. No, line m is not parallel to line n because the labeled angles are congruent, but they are not corresponding angles.
D. Yes, m || n because the labeled angles are congruent corresponding angles.
2. In order for line p to be parallel to line q, what must be the value of x?
3. Use the figures to decide whether the indicated lines are parallel.
a. Are m and n parallel lines? Explain.
b. Are p and q parallel lines? Explain.
4. Find a congruence statement that justifies x || y.
A. If ∠5 ≅ ∠6, then x || y because if alternate interior angles are congruent, then the lines are parallel.
B. If ∠3 ≅ ∠6, then x || y because if corresponding angles are congruent, then the lines are parallel.
C. If ∠2 ≅ ∠6, then x || y because if alternate interior angles are congruent, then the lines are parallel.
D. If ∠1 ≅ ∠6, then x || y because if corresponding angles are congruent, then the lines are parallel.
5. Identify each pair of parallel lines in the figure.
6. Error Analysis Your friend incorrectly says that line m is parallel to line n when the measure of angle X is 108°.
a. For which measure of angle X is line m parallel to line n?
b. What was your friend's likely mistake?