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Name: ______________________________________________________________ Date: _______________________ Chapter 5: Triangle Congruency Proofs Summary of Statements & Reasons Statement Period: _______ Reason Definition of Bisector Plain Old Language 2 congruent segments Notes Packet: Definition of Midpoint 2 congruent segments Old Chapters Definition of Median 2 congruent segments Old Chapters Definition of Angle Bisector 2 congruent angles Old Chapters Definition of Perpendicular Bisector 2 right angles 2 congruent segments Old Chapters Definition of Altitude 2 right angles Old Chapters Definition of Perpendicular Lines 2 right angles Old Chapters All right angles are congruent 2 congruent angles 5-2 All right triangles contain a right angle 2 right triangles (to set up for HL) 5-5 Vertical Angles are congruent 2 congruent angles 5-2 Reflexive Property Something congruent to itself 5-2 Old Chapters Name: ______________________________________________________________ Date: _______________________ Chapter 5: Triangle Congruency Proofs Summary of Statements & Reasons Period: _______ Isosceles Triangle Sides Isosceles triangles have two congruent sides 5-4 Isosceles Triangle Angles Isosceles triangles have two congruent base angles 5-4 Reflexive Property Line segments too small? Make them bigger by ADDING something. 5-6 Line segments too big? Make them smaller by SUBTRACTING something. 5-6 When you have an angle on the outside, but need the inside. 5-7 Parallel lines create many sets of congruent angles, but usually interior angles are used in proofs 5-8 Addition Substitution Reflexive Property Subtraction Substitution Angles that form a straight line are supplementary Supplements of congruent angles are congruent Parallel lines cut by a transversal, pairs of alternate interior angles are congruent EVERY PROOF, GENERAL LAYOUT: Statement Methods that prove congruency Reason Methods that do NOT prove congruency