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# Chapter 6 - Geo.

### Chapter 6 Theorems/Postulates/Collaries

Postulate/Theorem Name | Postulate/Theorem |
---|---|

Angle-Angle (AA) Similarity Postulate | if two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar |

if two polygons are similar, then the ratio of their perimeters is equal to the ratios of their corresponding side lengths | |

Side-Side-Side (SSS) Similarity Theorem | if the corresponding side lengths of two triangles are proportional, then the triangles are similar |

Side-Angle-Side (SAS) Similarity Theorem | if an angle of one triangle is congruent to an angle of a second triangle and the lengths of the sides including these angles are proportional, then the triangles are similar |

Triangle Proportionality Theorem | if a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally |

Converse of the Triangle Proportionality Theorem | if a line divides two sides of a triangle proportionally, then it is parallel to the third side |

if three parallel lines intersect two transversals, then they divide the transversals proportionally | |

if a ray bisects an angle of a triangle, then it divides the opposite side into segments whose lengths are proportional to the lengths of the other two sides |

Created by:
kgatling