PLEASE HELP!! Given that AP¯¯¯¯¯⊥AB¯¯¯¯¯, BQ¯¯¯¯¯⊥AB¯¯¯¯¯, and AP¯¯¯¯¯≅BQ¯¯¯¯¯, which of the following proves that AO¯¯¯¯¯≅BO¯¯¯¯¯ and PO¯¯¯¯¯≅OQ¯¯¯¯¯?

The figure shows two triangles O A P and O B Q with a common vertex O. Points A, O, B lie on one line. Points P, O, Q lie on one line.

Answers are one of the following
A
1. AP¯¯¯¯¯≅BQ¯¯¯¯¯ (Given)2. AP¯¯¯¯¯⊥AB¯¯¯¯¯, BQ¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)3. m∠A=m∠B=90∘ (Def. of ⊥)4. ∠A≅∠B (Rt. ∠s ≅ Thm.)5. ∠AOP≅∠BOQ (Vert. ∠s Thm.)6. △OAP≅ △OBQ (AAS Steps 4, 5, 1)7. AO¯¯¯¯¯≅BO¯¯¯¯¯, PO¯¯¯¯¯≅OQ¯¯¯¯¯ (CPCTC)
B
1. AP¯¯¯¯¯≅BQ¯¯¯¯¯ (Given)2. AP¯¯¯¯¯⊥AB¯¯¯¯¯, BQ¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)3. m∠A=m∠B=90∘ (Def. of ⊥)4. AO¯¯¯¯¯≅OB¯¯¯¯¯ (Rt. ∠s ≅ Thm.)5. ∠AOQ≅∠BOP (Vert. ∠s Thm.)6. △AOP≅ △BOQ (SAS Steps 1, 5, 4)7. AO¯¯¯¯¯≅BO¯¯¯¯¯, OP¯¯¯¯¯≅OQ¯¯¯¯¯ (CPCTC)
C
1. AP¯¯¯¯¯≅BQ¯¯¯¯¯ (Given)2. AP¯¯¯¯¯⊥AB¯¯¯¯¯, BQ¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)3. m∠A=m∠B=180∘ (Def. of ⊥)4. AO¯¯¯¯¯≅OB¯¯¯¯¯ (Supp. ∠s ≅ Thm.)5. △AOP≅ △BOQ (SAS Steps 1, 5, 4)6. AO¯¯¯¯¯≅OP¯¯¯¯¯, BO¯¯¯¯¯≅OQ¯¯¯¯¯ (CPCTC)
D
1. AP¯¯¯¯¯≅BQ¯¯¯¯¯ (Given)2. AP¯¯¯¯¯⊥AB¯¯¯¯¯, BQ¯¯¯¯¯⊥AB¯¯¯¯¯ (Given)3. m∠A=m∠B=180∘ (Def. of ⊥)4. ∠A≅∠B (Supp. ∠s ≅ Thm.)5. ∠AOP≅∠BOQ (Adj. ∠s Thm.)6. △OAP≅△OBQ (AAS Steps 4, 5, 1)7. AO¯¯¯¯¯≅OP¯¯¯¯¯, BO¯¯¯¯¯≅OQ¯¯¯¯¯ (CPCTC)