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# Criswell Geometry

### Algebra on Basic Geometry Concepts (Chapter 3)

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

Transversal | This is what one calls the line that cuts through a set of parallel lines. One often uses this line to carry attributes from one of the parallel lines to the next. |

Corresponding Angles to Parallel Lines | One uses this to describe any two angles on the same side of the transversal, in the same position, that will fall on different lines but will be congruent if the lines are parallel. |

Consecutive Interior Angles to Parallel Lines | Two angles on the same side of the transversal on the inside of the parallel lines will have a supplementary relationship. |

Consecutive Exterior Angles to Parallel Lines | Two angles on the same side of the transversal on the outside of the parallel lines will have a supplementary relationship. |

The lines will diverge on this side of the transversal | This is the result of having a set of lines and a transversal where the consecutive interior angles are greater than 180˚ |

The lines will converge on this side of the transversal | This is the result of having a set of lines and a transversal where the consecutive interior angles are less than 180˚ |

Alternate Interior Angles to Parallel Lines | Two angles on the opposite sides of the transversal, inside the parallel lines, that are equal to each other. |

Alternate Exterior Angles to Parallel Lines | Two angles on the outside of parallel lines, on opposite sides of the transversal, that are equal to each other. |

Vertical Angles | Two intersecting lines create angles that are opposite and equal to each other. |

Linear Pair | A set of angles that add up to 180˚ and will create a line. |

Angle Sum for Triangle | The sum of all interior angles in a triangle shall equal 180˚ |

Angle Sum for Quadrilaterals | The sum interior angle for a convex quadrilateral will equal 360˚ |

Summit Angle | The angle at the top of the triangle. |

Base Angles | The angles at the bottom of a triangle. |

Exterior Angle Theorem | The two angles farthest from the exterior of the triangle, when added together, will give you the value of that exterior angle. |

Supplementary angles | When two angles add up to 180˚ |

Complementary angles | When two angles add up to 90˚ |

Definition of Angle | This is formed when two lines or rays meet at a common endpoint. This point of is often referred to as the vertex of an angle |

Acute Angle | When the measure of an angle is less than 90˚ |

Right Angle | When the measure of an angle is equal to 90˚ |

Obtuse Angle | When the measure of an angle is greater than to 90˚ |

Straight Angle | When the measure of an angle is equal to 180˚ |

Point | An exact location in space, has no dimensions, and is usually associated with coordinates. |

Line | This is an infinite collection of points that create a straight one-dimensional figure that does not have a thickness, and it extends endlessly in both directions. |

Ray | Part of a line that has a single endpoint and extends infinitely in only one direction. |

Line Segment | This is a piece of a line having two endpoints, which results in a measurable length. |

Collinear | The old adage "it takes 2 points to define a line", if multiple points exist on the same line this word is used to describe the relationship. |

Coplanar | if two points define a line, then three points are needed to define a plane. When multiple points exist on the same plane this word is used to describe the relationship. |