# Angle Bisector Theorem

Statements | Reasoning |

Segment DC is perpendicular to line AB | Given |

Segment CE is perpendicular to line FB | Given |

Line H is the angle bisector of angle ABF | Given |

Angle DBC is congruent to angle CBE | Line H is angle bisector |

Line CB is congruent to Line CB | Reflexive property |

Angle CDB is 90 degrees | Line CD is perpendicular to line AB |

Angle CEB is 90 degrees | Line EC is perpendicular to line FG |

Triangle BCD is congruent to triangle BEC | AAS |

Segment CE is congruent to Segment CD | CPCTC |

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