ϭϴ 3.4 SJV. 148-154 Theorems about Parallel and Perpendicular Lines DaWH: Main Poinƚs QƵesƚions Transitive Property of Parallel Lines If WZo lines are parallel Wo Whe __________ line, When Whe\ are parallel Wo ____________ _____________. Linear Pair Perpendicular Theorem If WZo lines inWersecW Wo form a linear pair of ________________ angles, When Whe lines are _________________________ . Perpendicular Transversal Theorem In a plane, if a WransYersal is perpendicXlar Wo one of WZo ____________ lines, When iW is perpendicXlar Wo Whe ____________ __________. Lines Perpendicular to a Transversal Theorem In a plane, if WZo lines are perpendicXlar Wo Whe __________ line, When Whe\ are parallel Wo ____________ _____________. Proof Practice Use Whe diagram Wo proYe PerpendicXlar TransYersal Theorem GiYen ܥܣശ ሬ ሬ ሬ ሬ Ԧ ԡ ܨܦശ ሬ ሬ ሬ ሬ Ԧ , ܪܤശ ሬ ሬ ሬ ሬ Ԧ ,٣ ܥܣശ ሬ ሬ ሬ ሬ Ԧ , Prove ܪܤശ ሬ ሬ ሬ ሬ Ԧ ,٣ ܨܦശ ሬ ሬ ሬ ሬ Ԧ , P Q K 1 2 P Q P Q W W P Q A D B C E F G H 10 10 Same 99 99 qq each other If linens 11h andlinen Heinen then line millineh Right perpendicular 1 If Mcl _900 and me 2 900 then linen 1 line mo se if we know hes are arakel and parallel e have a 900 other line 7 determine f lines are 1 If dinet 1 line m and dine in Kline n then line t 1 linen Proves lines are parallel when we know same n angles are each other congruent Both 90 If line t 1 linen and line t 1 linen then done m 11 line no statements Reasons Ad 119 Given 93111 Given ML GBC 900 Def of 1 line 7 MLB EF 900 Corresp 2s post 43ft Def of 1 line