Geometry help please! Match the reasons with the statements
1 answer:
Given ⇔ 1. ∠PRS and ∠VUW are supplementary Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180° Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180° Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU Algebra ⇔ 5. ∠VUW = ∠SRU Converse of Corresponding angle Postulate ⇔ Line TV || Line QS <u>Step-by-step explanation: </u>
Here we have , ∠PRS and ∠VUW are supplementary . We need to complete the proof of TV || QS , with matching the reasons with statements .Let's do this :
Given ⇔ 1. ∠PRS and ∠VUW are supplementary Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180° Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180° Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU Algebra ⇔ 5. ∠VUW = ∠SRU Converse of Corresponding angle Postulate ⇔ Line TV || Line QS Above mentioned are , are the statements matched with expressions on right hand side (RHS) .
The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent . The converse states: If corresponding angles are congruent, then the lines cut by the transversal are parallel.
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