In Exercises 1 and 2 complete the proof Example 1 1 Given PQ RS Prove PR QS P Q 2 Given Z1 is a complement of 22 22 23 R Prove 1 is a complement of 23 X In Exercises 3 6 name the property that the statement illustrates Example 2 3 If PQ ST and ST UV then PQ UV 4 LF F 5 If XY UV then UV XY 6 If ZL ZM and ZM ZN then ZL ZN PROVING A THEOREM In Exercises 7 9 write a two column proof for the property Example 3 7 Reflexive Property of Segment Congruence 8 Transitive Property of Angle Congruence 9 Transitive Property of Segment Congruence Because MNLQ and LQPN then MNPN by the Reflexive Property of Segment Congruence STATEMENTS 1 PQ RS 2 PQ QR RS QR 3 4 RS QR QS 5 PR QS 10 ERROR ANALYSIS In the diagram MN LQ and LQPN Describe and correct the error in the reasoning L Q STATEMENTS 1 Z1 is a complement of 22 2 22 23 3 mZ1 m2 90 4 m 2 m23 5 6 Z1 is a complement of 23 M REASONS PN 1 2 3 Segment Addition Postulate 4 Segment Addition Postulate 5 E REASONS 1 Given 2 PROOF In Exercises 11 and 12 write a two column proof Example 4 11 Given ZGFH ZGHF 3 4 Definition of congruent angles 5 Substitution Property of Equality 6 Prove ZEFG and ZGHF are supplementary F D GO DIGITAL 12 Given ABFG BF bisects AC and DG Prove BCDF 13 MAKING AN ARGUMENT In the figure SRCE and ACQR Your friend claims that because of this CB AC by the Transitive Property of Segment Congruence Is your friend correct Explain your reasoning B Q R