# Logic and Proof

### Exercises

#### Exercise 1

Given: *OG* is an angle bisector of ∠*AOF*.

Prove: ∠*COD* ≅ ∠*EOD*

Statements | Reasons |

1. OG is angle bisector of ∠AOF | Given |

2. ∠BOC ≅ ∠FOG | Given in figure |

3. ∠COD and ∠FOG are vertical angles | Given in figure |

4. ∠EOD and ∠AOG are vertical angles | Given in figure |

5. ∠FOG ≅ ∠AOG | ? |

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