[math] " Statement " [/math] | [math] " Reason "[/math] |

[math]1. "Draw lines " bar{EC}, bar{DB}, & \ bar{ED}[/math] | [math]1. "Two points define a line"[/math] |

[math]2. m \stackrel{\frown}{EB} = m \stackrel{\frown}{DC}[/math] | [math]2. [/math] |

[math]3. m ang EDB = 1/2 m \stackrel{\frown}{EB}[/math] | [math]3. "Measure of inscribed angle is 1/2 the measure of intercepted arc"[/math] |

[math]4. m ang CED = 1/2 m \stackrel{\frown}{CD}[/math] | [math]4. "Measure of inscribed angle is 1/2 the measure of intercepted arc"[/math] |

[math]5. 1/2 m \stackrel{\frown}{EB} = 1/2 m \stackrel{\frown}{DC}[/math] | [math]5. "Multiplicative Property of Equality"[/math] |

[math]6. m ang EDB = m ang CED[/math] | [math]6. [/math] |

[math]7. ang EDB ~= ang CED[/math] | [math]7. "Definition of congruent angles"[/math] |

[math]8. ang EBD ~= ang ECD[/math] | [math]8. "Inscribed angles intercepting the same arc are congruent"[/math] |

[math]9. bar{ED} ~= bar{ED}[/math] | [math]9. "Reflexive Property"[/math] |

[math]10. triangle EBD ~= triangle DCE[/math] | [math]10. "AAS"[/math] |