4.3 proofs reference practice sheet - NAME Lesson 4.3 PROOFS SSI Angles Theorem When parallel lines are cut by a transversal same side interior

# 4.3 proofs reference practice sheet - NAME Lesson 4.3...

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NAME ______________________ Lesson 4.3 PROOFS SSI Angles Theorem: When parallel lines are cut by a transversal, same side interior angles are congruent. (PROOF OF AIA Angles Theorem): When parallel lines are cut by a transversal, AIA are _____________. Given : p∥q Prove : m<3 = m<5 Statement Reason (1) p∥q Given (2) <3 and <6 are supplementary (3) m<3 + m<6 = 180 Definition of Supplementary (4) <5 and <6 are supplementary (5) m<5 + m<6 = 180 Definition of Supplementary (6) m<3 + m<6 = m<5 + m<6 (7) m<3 = m<5 Subtraction property of equality <3 and <5 are ___________________. In geometry, they’re ________________. _____________________________________________________________________________ (PROOF OF CORRESPONDING ANGLES THEOREM): Corresponding angles are congruent. Given : p∥q Prove : <4≅<8 Word Bank: AIA Theorem, Transitive Property, Vertical Angles Statement Reason p∥q Given <4≅<6 <6 ≅ <8 <4 ≅ <8 <4 and <8 are _____________ angles.
(PROOF OF SSE ANGLES THEOREM): When parallel lines are cut by a transversal, alternate exterior angles are congruent. Given: l∥n Prove: m<2 + m<7 = 180 Word Bank: Vertical Angles, SSI Theorem, Substitution Line l is parallel to line n given m<4 and m<5 are supplementary m<4 +m<5 = 180 Definition of supplementary