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Geometry Name: _______________________________ 2.6 – Worksheet Part II Date: _________________Hour: __________ In 1-7, Multiple Choice: Choose the justification which allows you to make the given conclusion. 1) If EF AB , and AB XY , then EF XY a) Reflexive Property c) Definition Midpoint b) Transitive Property d) Symmetric Property 2) XYZ ZYX a) Reflexive Property c) Definition Midpoint b) Transitive Property d) Symmetric Property 3) If H is the midpoint of DU, then DH HU a) Segment Congruence Theorem c) CPCF b) Definition of Midpoint d) Definition of Congruence 4) If 4 and 7 are vertical angles, then 4 7 a) Definition of Vertical Angles b) Vertical Angles Theorem c) Angle Congruence Theorem d) Definition of Congruence 5) If PQ + PT = 25, and PQ = AB, then PQ + AB = 25 a) Transitive Property c) Substitution Property b) Segment Addition Property d) Addition Property 6) If RZ is the bisector of XRT , then XRZ ZRT . a) Definition of angle bisector b) Corresponding Angles Postulate c) CPCF d) Angle Congruence Theorem Geometry: Transitive Proofs Directions: Use the given information to complete each proof. 1) Given: 1 A Prove: 2 A Statements Reasons 1) ________________________________________ 1) ________________________________________ 2) ________________________________________ 2) ________________________________________ 3) ________________________________________ 3) ________________________________________ 2) Given: SR bisects PSQ and SQ bisects RSF Prove: PSR FSQ Statements Reasons 1) ________________________________________ 1) ________________________________________ 2) ________________________________________ 2) ________________________________________ 3) ________________________________________ 3) ________________________________________ 4) _________________________________________ 4) ________________________________________ 3) Given: B is the midpoint of AC and C is the midpoint of BD . Prove: AB CD Statements Reasons 1) ________________________________________ 1) ________________________________________ 2) ________________________________________ 2) ________________________________________ 3) ________________________________________ 3) ________________________________________ 4) _________________________________________ 4) ________________________________________ 4) Given: B and C are on circle Q and C is the midpoint of Prove: BQ EC Statements Reasons 1) ________________________________________ 1) ________________________________________ 2) ________________________________________ 2) ________________________________________ 3) ________________________________________ 3) ________________________________________ 4) ________________________________________ 4) ________________________________________