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In this activity you will see partial proofs. You will need to justify each statement using properties of equality and congruence and definitions of terms. Practice with Two Column Proofs Which of the conclusions below is the correct justification for Statement 2? Symmetric Property of ≅ Angle Addition E 1. ∡DEF ≅ ∡FEG 2. EF bisects ∡DEG Statement D F G Definition of congruent ∡'s Definition of Angle bisector 1. Given 2. ? Reason Segment Addition Postulate Angle Addition Postulate 2. m∡DEF + m∡FEG = m∡DEG 1. EF is on the interior of ∡DEG What is the correct justification for Statement 2? E Statement D F G Addition Property of = Definition of Angle bisector 1. Given 2. ? Reason Points P, Q and R, shown in the diagram, are collinear. Point Q is the midpoint of segment PR. Complete the proof below by dragging the correct reason to each statement being made. 1.Q is the midpoint of PR 2. PQ ≅ QR Statement P Q R definition of midpoint ? Reason linear pair theorem ? Given ? Not used: T ∙ Angles D and E, shown in the diagram, are right angles. Complete the proof below by dragging the correct reason for each statement being made.D 1. ∡D is a right angle 2. ∡E is a right angle 3. ∡D ≅ ∡E Statement E All right angles are ≅ ? Definition of perpendicular ? Reason Given ? not used: Angle HED, shown in the diagram, has a measure of 40º. Complete the proof by dragging the correct reason to justify each statement being made. 1. m∡HED = 40º 2. m∡HED + m∡DEF = m∡HEF 3. 40∘ + m∡DEF = m∡HEF Statement E H D F G NOT used: Substitution Property of = ? Angle Addition Postulate ? Transitive Property of = ? Reason Given ? In the diagram, AB = EF. Complete the proof by dragging the correct reason to justify each statement being made. 1. AB = EF 2. AB + BC = AC 3. EF + BC = AC Statement ∙ ∙ E F A B C ∙ ∙ not used: Segment Addition Postulate ? Addition Property of = ? Substitution Property of = ? Reason Given ? ∙ Complete the proof below by dragging the correct reason to each statement being made. 1. VW ≅ WX 2. WX ≅ XY 3. VW ≅ XY Statement V W X Y Transitive Property of = ? Substitution Property of = ? Reason Given ? Given not used: |