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# JRA Geometry Chptr 1

### Chapter 1 = distant, Planes, Segments, Angles, Postulates + Theorems

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

Equally distant. | Equidistant |

A location that has no length, width, and thickness. (Labeled + named with capital letter) | Point |

An infinite set of points that extends in two directions. (Named by lowercase letter or two points on line) | Line |

An infinite set of points that creates a flat surface and extends without ending. (Named by capital letter or vertices) | Plane |

A plane that has its two longest sides going left and right. | Horizontal plane |

A plane that has its two longest sides going up and down. | Vertical plane |

The set of all points. | Space |

Points on the same line. | Collinear |

Points not on the same line. | Noncollinear |

Points in the same plane. | Coplanar |

Points not in the same plane. | Noncoplanar |

The set of points in both figures. | Intersection |

This is named by giving its endpoints. | Segment |

This is named by giving its endpoint and another point on it. (Endpoint always comes first) | Ray |

Rays that share a common endpoint, but go off in opposite directions. | Opposite rays |

Another word for distance. | Length |

The length of a segment on a number line can be found by finding the absolute value of the difference of its endpoints' coordinates. The length must be positive. | Ruler Postulate |

If point B is between points A and C on segment AC, then the segment AB added to the segment BC can get you the length of segment AC. | Segment Addition Postulate |

Having the same size and shape. | Congruent |

This divides a segment into two congruent segments. | Midpoint of a segment |

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

A figure formed by two rays with the same endpoint. | Angle |

The two rays that make and angle. | Sides of an angle |

The point where the two rays meet to make an angle. | Vertex of an angle |

The degrees of an angle. | Measure of an angle |

You can find the measure in degrees of an angle by using a protractor to find the absolute value of the difference of the sides of the angle. | Protractor Postulate |

An angle that is greater than 0 and less than 90. | Acute angle |

An angle that is greater than 90 and less than 180. | Obtuse angle |

An angle that is exactly 90 degrees. | Right angle |

An angle that is exactly 180 degrees. | Straight angle |

If a point D lies in the interior of an angle ABC, then the measure of angle ABD added to the measure of angle DBC is the measure of angle ABC. | Angle Addition Postulate |

Two angles with equal measures. | Congruent angles |

The ray that divides an angle into two congruent angles. | Bisector of an angle |

Coplanar angles with a common vertex and a common side, but no common interior points. | Adjacent angles |

A basic assumption accepted without proof. | Postulate |

A statement that can be proved using postulates, definitions, and previously proved versions of this. | Theorem |

There is at least one. | Exists |

There is no more than one. | Unique |

Exactly one. | One and only one |

To define or specify. | Determine |

Two relationships between two lines in the same plane. | Parallel or intersect at one point |

Three relationships between a line and a plane. | Parallel, intersect at one point, or plane contains line |

Two relationships between two planes. | Parallel or intersect in a line |

A line contains at least two points; a plane contains at least three noncollinear points; space contains at least four noncoplanar points. | Postulate 5 |

Through any two points there is exactly one line. | Postulate 6 |

Through any three points there is at least one plane, and through any three noncollinear points there is exactly one plane. | Postulate 7 |

If two points are in a plane, then the line that contains the points is in that plane. | Postulate 8 |

If two planes intersect, then their intersection is a line. | Postulate 9 |

If two lines intersect, then they intersect in exactly one point. | Theorem 1-1 |

Through a line and a point not in the line there is exactly one plane. | Theorem 1-2 |

If two lines intersect, then exactly one plane contains the lines. | Theorem 1-3 |

Created by:
LOSBH47