Anonymous asked in Science & MathematicsMathematics · 1 decade ago

a proof!!!!! rite a two-column proof to show RSTW is a parallelogram using the method that states that if one?

1 Answer

  • 1 decade ago
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    1. Angle RSW = Angle TWS (Given)

    2. RS || WT (If alternate interior angles are congruent, then lines are parallel)

    3. Angle WRS = Angle STW (Given)

    4. SW = SW (Reflexive property)

    5. ∆ RSW = ∆ WTS (Angle-Angle-Side theorem)

    6. RS = WT (Corresponding parts of congruent triangles are congruent)

    7. RS || WT and RS = WT, so RSTW is a parallelogram

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