Given: RQ  RT PR  UR Prove: ∆RUT  ∆RPQ

P Q R U Given: RQ  RT PR  UR Prove: ∆RUT  ∆RPQ T

P Q 1 R 2 U Given: RQ  RT PR  UR Prove: ∆RUT  ∆RPQ T RQ  RT given ∆RUT  ∆RPQ PR  UR SAS given  1  2 Vert Thm

E 2 1 4 3 F H Given:  1  2 3  4 Prove: ∆EFG  ∆EHG G

E Given:  1  2 3  4 Prove: ∆EFG  ∆EHG 2 1 4 3 F H G  1  2 given ∆EFG  ∆EHG 3 4 ASA given EG  EG Reflexive Prop

H G O T D Given: G TGO  TO Prove: ∆HOT  ∆DOG

H G 2 1 O T D Given: G TGO  TO Prove: ∆HOT  ∆DOG G  T given ∆HOT  ∆DOG GO TO ASA given  1  2 Vert Thm

A U C T B Given: B TUB  TA Prove: ∆CAT  ∆CUB

A U 2 1 C T B Given: B TUB  TA Prove: ∆CAT  ∆CUB B  T given ∆CAT  ∆CUB UB  TA AAS given  1  2 Vert Thm

E 2 1 4 3 F H Given: FG GH 3  4 Prove: ∆EFG  ∆EHG G

E Given:  1  2 3  4 Prove: ∆EFG  ∆EHG 4 3 F H G FG GH given ∆EFG  ∆EHG 3 4 ASA given EG  EG Reflexive Prop

I T S A Given: SI  SATA TI Prove: ∆SIT  ∆SAT

I T S A Given: SI  SATA TI Prove: ∆SIT  ∆SAT SI  SA given ∆SIT  ∆SAT TA TI SSS given ST  ST Reflexive Prop

Given: RQ  RT PR  UR Prove: ∆RUT  ∆RPQ