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# Bates Geom U1

### Unit one vocabulary terms and concepts

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

Equidistant | Equally distant |

The shape formed when finding all points that are 2 cm from a point | Circle |

Location in space that is infinitely small. | Point |

A point has this many dimensions. | 0 |

A straight, infinitely thin, infinitely long geometrical object. | Line |

A line has this many dimensions. | 1 |

A flat surface that is infinitely large and infinitely thin. | Plane |

A plane has this many dimensions | 2 |

When a line can be drawn that includes all of the points, then the points are said to be this. | Collinear |

When a plane can be drawn that includes all of the points, then the points are said to be this. | Coplanar |

All collinear points are necessarily coplanar. True or False. | True |

All coplanar points necessarily are collinear. True or False. | False. |

Two planes always intersect at this. | A line |

AB (with no line above it) denotes what? | The distance between A and B. |

The distance formula is what? | ABSOLUTE VALUE of (coordinate 1 - coordinate 2) |

In Ray AC (pretend there's a ray above the A and the C), which point is the endpoint? | A |

Opposite rays must point 180 degrees from one another. True or False. | True |

Could Ray ST and Ray TR be opposite rays? | No |

This postulate says that you can always create a number by pairing two points to numbers and then using the distant between those two points to determine the location of other points? | Ruler Postulate |

What postulate says AB + BC = AC | Segment Addition Postulate |

Objects of the same shape and size are said to be this. | Congruent |

Segments of the same length. | Congruent Segments |

The point which divides a segment into two congruent segments. | Midpoint of a Segment |

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

Figure formed by two rays that share an endpoint. | Angle |

The vertex in angle ABC | B |

Angles less than 90 degrees | Acute |

Angles that are 90 degrees | Right Angle |

Angles between 90 and 180 degrees | Obtuse Angle |

Angles that are 180 degrees | Straight Angle |

If point B lies in the interior of angle AOC, then measure of angle AOB + measure of angle BOC = measure of angle AOC | Angle Addition Postulate |

Angles that have equal measures | Congruent Angles |

Two angles in a plane that share a vertex and a common side but no interior points (so they are next to each other) | Adjacent Angles |

The ray that divides an angle into two congruent, adjacent angles | Bisector of an Angle |

A bisector of an angle divides is a (WHAT?) that divides an angle into two (WHAT?) and (WHAT?) angles. | ray, congruent, adjacent |

True or False? Alex Webb has one eyeball. | TRUE |

True or False? Alex Webb has exactly one eyeball. | FALSE |

A line contains at least (HOW MANY?) points. | 2 |

A plane contains at least (HOW MANY?) points. | 3 |

A space contains at least (HOW MANY?) points. | 4 |

Postulate 6: Through any two points there is exactly (HOW MANY?) line(s). | 1 |

Postulate 7: Through any three points there is (LESS THAN/EXACTLY/AT LEAST) one plane. | at least |

Postulate 7: Through three collinear points there are (HOW MANY?) planes. | infinitely many |

Postulate 7: Through three non-collinear points, there is (LESS THAN/EXACTLY/AT LEAST) one plane. | exactly |

Postulate 7: You need this many points to define a plane | 3 |

Postulate 8: If two points are in a plane, then the line that contains them is (ALWAYS/SOMETIMES/NEVER) in that plane. | Always |

Postulate 9: If two planes intersect, then their intersection is a (WHAT?) | Line |

Theorem 1-1: If two lines intersect, then they intersect in exactly one (WHAT?) | point |

Theorem 1-2: Through a line and a point not in the line, there is (HOW MANY?) plane(s). | exactly one |

Theorem 1-3: If two lines intersect, then (HOW MANY?) plane(s) contain(s) the lines. | exactly one |

Created by:
sjmbates