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cristian691023
cristian691023
18.01.2021 • 
Mathematics

Identify the correct two-column proof. Given: WXYZ is a parallelogram.

Prove: m∠W+m∠Z=180°
The figure shows parallelogram W X Y Z.

1. WXYZ is a parallelogram. (Given)2. WX⎯⎯⎯⎯⎯⎯∣∣∣∣ZY⎯⎯⎯⎯⎯ (Def. of parallelogram)3. ∠W and ∠Z are supp. (Same-side Int. ∠s Thm.)4. m∠W+m∠Z=180° (Alt. Int. ∠s Thm.)

1. WXYZ is a parallelogram. (Given)2. WX⎯⎯⎯⎯⎯⎯∣∣∣∣ZY⎯⎯⎯⎯⎯ (Def. of parallelogram)3. ∠W and ∠Z are supp. (Alt. Int. ∠s Thm.)4. m∠W+m∠Z=180° (Same-side Int. ∠s Thm.)

1. WXYZ is a parallelogram. (Given)2. WX⎯⎯⎯⎯⎯⎯∣∣∣∣ZY⎯⎯⎯⎯⎯ (Def. of parallelogram)3. ∠W and ∠Z are supp. (Alt. Int. ∠s Thm.)4. m∠W+m∠Z=180° (Def. of supp. ∠s)

1. WXYZ is a parallelogram. (Given)2. WX⎯⎯⎯⎯⎯⎯∣∣∣∣ZY⎯⎯⎯⎯⎯ (Def. of parallelogram)3. ∠W and ∠Z are supp. (Same-side Int. ∠s Thm.)4. m∠W+m∠Z=180° (Def. of supp. ∠s)

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