Unit 1 Special Angle Pairs Given: <GHI and <IHK are a linear pair Prove: The value of x Statement: Reason: WarmUp 08/24/15 Angles formed by Parallel Lines 1 2 3 4 5 6 7 8 Identify each angle pair. 1) <2 and <4 2) <6 and <2 3) <8 and <1 4) <2 and <7 5) <4 and <7 1 2 3 4 Given: <1 and <3 are vertical angles. Prove: m<1 = m<3 Statements Reasons <1 and <3 are vertical angles. <1 and <3 are formed by intersecting lines. Definition of vertical angles <1 and <2 are a linear pair. ______________________________ Definition of linear pair ______________________________ <2 and <3 are supplementary. Linear Pair Theorem ____________________________ ____________________________ Definition of supplementary angles m<1 + m<2 = m<2 + m<3 m<1 = m<3 Vertical Angle Theorem 1 2 3 4 5 6 7 8 Statement: Reason: Alternate Interior Given: p ll q Prove: m<3 = m<5 p q <2 & <6 are supplementary m<2 + m<6 = 180 <5 and <6 are a linear pair Given Given Substitution Property m<3 = m<5 Statement: Reason: Same Side Interior 1 2 3 4 5 6 7 8 Given Given <5 and <6 are a linear pair p ll q <4 = <5 ~ Substitution Given: p ll q Prove: < 4 and < 6 are supplementary
Angles formed by Parallel Lines - 2015-2016beasongeometry.weebly.com/uploads/5/7/8/8/57880433/... · WarmUp 08/24/15 Angles formed by Parallel Lines 1 2 3 4 5 6 7 8 Identify each
