### 7-2: TEKS Practice

• 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?

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