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# Geometry Ch 1

### Stepp's PH Geometry Chapter 1 - Tools of Geometry

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

Inductive Reasoning | reasoning that is based on patterns you observe. |

Conjecture | A conclusion you reach using inductive reasoning |

Counterexample | If a conjecture is false, then find an example to prove it. |

Point | A location represented as a small dot, named by a capital letter. |

Space | Space is defined as the set of all points |

Line | A series of points that extends in two opposite directions without end. |

Collinear points | Points that lie on the same line |

Plane | A flat surface that has no thickness and extends in all directions without end. |

Coplanar | Points and lines in the same plane. |

Postulate/Axiom | An accepted statement or fact. |

Through any two points there is exactly ___line. | one |

Postulate 1.2 If two lines intersect, then they intersect in exactly one ____. | point |

Postulate 1.3 If two planes intersect, then they intersect in exactly one ___ | line |

Postulate 1.4 Through any three noncollinear points there is exactly one ___ | plane |

Segment | The part of a line consisting of two endpoints and all points between them. |

Ray | The part of a line consisting of one endpoint and all the points on one side of the endpoint. |

Opposite Rays | Two collinear rays with the same endpoint; opposite rays always form a line. |

Parallel Lines | Coplanar lines that do not intersect. |

Skew Lines | Skew lines are noncoplanar; therefore, they are not parallel and do not intersect. |

Parallel Planes | Planes that do not intersect, and are not skew. |

Ruler Postulate | every point has a name. |

Congruent Segments | Two segments with the same length are congruent (≡) segments. |

Segment Addition Potulate | part + part = whole |

Midpoint | A point that divides a segment in two congruent segments. |

Angle | Two rays with the same endpoint (vertex). |

Protractor Postulate (Postulate 1.7) Any angle can have only ___ measure at a time | one |

Acute Angle | 0 < X < 90 |

Right Angle | X = 90 |

Obtuse Angle | 90 < X < 180 |

Straight Angle | X = 180 |

Angle Addition Postulate | part + part = whole |

Perpendicular Lines | Two lines that intersect to form right angles. |

Perpendicular Bisector | A line, segment, or ray that is perpendicular to the segment at its midpoint, |

Angle Bisector | A ray that divides an angle into two congruent angles. Its endpoint is at the vertex. |

The Pythagorean Thm is used in the ___ | The Distance Formula |

The Midpoint Formula | (average x, average y) |

Bisectors always make | twins |

Perpendicular means | at a right angle |

If a two lines do not intersect, then they must be ___ or ___ to each other | skew or parallel |

You can name a line by using any ___ | 2 points on the line |

When naming an angle, the ____ must be in the middle | vertex |

Numbers can be ____ but figures can be ____ | equal , congruent |

A compass is used to copy ____ | distance |

The three undefined terms of Geometry are ___ | Point, line, and plane |

2l + 2w = ____ | Perimeter of a rectangle |

Created by:
criswell216
on 2008-09-22