7
AssignmentMultiple Dropdowns

Lines Cut by a Transversal

Question 7 • (A. Costello)WCA 5324 Geometry 1st Nine Weeks 26-27

Use the drop-down menus to complete the proof. Given that w ∥ x and y is a transversal, we know that ∠1 ≅∠5 by the . Therefore, m∠1 = m ∠5 by the definition of congruent. We also know that, by definition, ∠3 and ∠1 are a linear pair so they are supplementary by the . By the , m∠3 + m ∠1 = 180. Now we can substitute m∠5 for m∠1 to get m∠3 + m∠5 = 180. Therefore, by the definition of supplementary angles, ∠3 and ∠5 are supplementary.

Answer
Selection 1:

corresponding angles theorem

Selection 2:

linear pair postulate

Selection 3:

definition of supplementary angles

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