7-2: TEKS Practice

  • 1. For the figure shown, decide if m || n.

    Transversal t crosses lines m and n; the angle below transversal t and to the right of line m measures 129°; the angle below transversal t and to the right of line n measures 129°.

    • 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?

    Transversal t crosses lines p and q; the angle to the right transversal t and above line p measures x°; the angle to the right of transversal t and above line q measures 142°.

  • 3. Use the figures to decide whether the indicated lines are parallel.

    Lines m and n crossed by a transversal, Lines p and q crossed by two transversals

    • 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.

    Lines x and y crossed by transversal t

    • 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.

    Intersecting lines

  • 6. Error Analysis Your friend incorrectly says that line m is parallel to line n when the measure of angle X is 108°.

    Transversal t crosses lines m and n; the angle below transversal t and to the left of line m measures 72°; the angle below transversal t and to the left of line n is labeled X.

    • 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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Table of Contents

Digits, Grade 8, Volume 1, Homework Helper Unit A: Number and Operations Unit B: Proportionality Unit C: Expressions, Equations, and Relationships English/Spanish Glossary Formulas Math Symbols Formulas Measures Properties