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1. What is the correct reason for statement #2? 1. ∡DEF ≅ ∡FEG 2. EF bisects ∡DEG Def. of angle trisector Angle Addition Prop. E D F Def. of congruence Def. of bisect G 1. Given 2. __?__ 2. What is the correct missing reason for the statement? Segment Addition Post. Angle Addition Post. 1. m∡DEF + m∡FEG = m∡DEG E D F Addition Prop = Def. of angle bisector G 1. ____?_____ 3. What is the correct reason for statement #2? Def. of midpoint Def. of between 1. Q is the midpoint of PR 2. PQ ≅ QR P Q R Def. of segment bisector Def. of congruence T ∙ 1. Given 2. ___?___ 4. What is the correct reason for statement #2? Def. of midpoint Def. of between 1. PQ ≅ QR 2. QT bisects PR P Q R Def. of segment bisector Def. of congruence T ∙ 1. Given 2. ___?___ 5. What is the correct reason for statement #3? Def. of right angle Def. of congruence 1. ∡D is a right angle 2. ∡E is a right angle 3. ∡D ≅ ∡E D E Substitution Right angle congruence theorem 1. Given 2. Given 3. __?__ 7. What is the correct reason for statement #3? Def. of congruence Def. of right angle 1. m∡D =90∘ 2. m∡E =90∘ 3. m∡D = m∡E D E 1. Given 2. Given 3. __?__ Right angles thrm Substitution 8. What is the missing justification for statement #3? 1. m∡HED = 40∘ 2. m∡HED + m∡DEF = m∡HEF 3. 40∘ + m∡DEF = m∡HEF Angle Addition Prop Addition Prop = E H D F Substitution Def. of congruence G 1. Given 2. ___?_____ 3. ___?_____ 9. What is the correct reason for statement #2? 1. AB = EF 2. AB + BC = AC 3. EF + BC = AC Addition prop = Substitution ∙ ∙ E F A B C ∙ ∙ Def. of congruence Segment Addition Prop. 1. Given 2. __?__ 3. __?__ ∙ 10. What is the correct reason for statement #3? 1. AB = EF 2. AB + BC = AC 3. EF + BC = AC Addition Prop = Substitution ∙ ∙ E F A B C ∙ ∙ Def. of congruence Segment Addition Prop 1. Given 2. __?__ 3. __?__ ∙ 11. What is the correct reason for statement #3? 1. VW ≅ WX 2. WX ≅ XY 3. VW ≅ XY Def. of congruence Transitive Prop ≅ V W X Y ∙ 1. Given 2. Given 3. __?__ ∙ Substitution Segment Addition Prop ∙ ∙ 12. What is the justification for step #2? Definition of = Definition of ≅ 1. m∡ABC = m∡XYZ 1. Given2. ∡ABC ≅ ∡XYZ 2. ??? Symmetry Prop ≅ Reflexive Prop = |