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# Howard Geometry 5

### Chapter 5 Geometry Vocabulary

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

Hypotenuse | The side opposite the right angle in a right triangle |

Legs of Right Triangle | The two sides of a right triangle that make up the right angle |

Equidistant | When a point is the same distance from one line as it is from another line |

Midpoint | The point on a segment that divides the segment into two equal segments |

Proof | A convincing argument that shows why a statement is true |

Perpendicular Bisector | A segment, ray, or line that is forms 90 degree angles to a segment at its midpoint |

Angle Bisector | The line, ray, or segment that cuts an angle into two equal halves. |

Vertex | A point that joins two sides of a triangle |

Parallel | When these lines are cut by a transversal, then alternate interior angles are congruent. |

Congruent Figures | Figures where all pairs of corresponding angles and corresponding sides are congruent. |

Perpendicular | Two lines that intersect to form a right angle. |

Distance from a Point to a Line | Measured by the length of the perpendicular segment from the point to the line. |

Corresponding Parts | The "matching" sides or angles |

Reflexive Property | BA = BA |

Symmetric Property | BA = AB |

Segment Bisector | A segment, ray, line, or plane that intersects a segment at its midpoint. |

Vertical Angles | Two non-adjacent angles created by intersecting lines that share the same vertex; these angles are congruent. |

Postulate 12 SSS | When 3 sides of a triangle are congruent to 3 sides of another triangle, the triangles are congruent. |

Postulate 13 SAS | When 2 sides and an included angle of one triangle are congruent to the same on another, then the triangles are congruent. |

Postulate 14 ASA | When 2 angles and an included side of one triangle are congruent to the same on another, then the triangles are congruent. |

Theorem 5.1 AAS | When 2 angles and an a non-included side of one triangle are congruent to the same on another, then the triangles are congruent. |

Theorem 5.2 HL | When the hypotenuse and a leg of a right triangle are congruent to the same on another right triangle, then the triangles are congruent. |

Theorem 5.3 Angle Bisector Theorem | If a point is on the bisector of an angle, then it is equidistant from the two sides of the angle. |

Theorem 5.4 Perpendicular Bisector Theorem | If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment. |