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# Final - Ms. Walker

### Chapters 7-14

Question | Answer |
---|---|

a/b=c/d : | ad=cb |

ad=bc | a/c=b/d |

Two Polygons are similar if their vertices can be paired so that: | (1) Corresponding angles are congruent. (2) Corresponding sides are in proportions. (Their lengths have the same ratio.) |

AA Similarity Postulate | If two angles of one triangle are congruent to two angles of another triangle then the triangles are similar |

SAS Similarity | If an angle of one triangle is congruent to an angle of another triangle and the sides including those angles are in proportion, then the triangles are similar |

SSS Similarity | If the sides of two triangles are in proportion, then the triangles are similar |

Triangle Proportionally Theorem | If a line parallel to one side of a triangle intersects the other two sides, then it divides those sides proportionally. |

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

Triangle Angle-Bisector Theorem | If a ray bisects an angle of a triangle, the it divides the opposite side into segments proportional to the other side. |

Geometric Mean | x=(square root)(a)(b) |

If the altitude is drawn to the hypotenuse of a right triangle, then: | the two triangles formed are similar to the original triangle and to each other. |

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