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# Geometry Unit 1!

### Geometry unit 1!

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

a way to categorze items based on having the same characteristics. | Attributes |

Two figures are this if they have the same shape and size. | Congruent |

Two figures are this if they have the same shape. | Similar |

When your eyes see something differently or are tricked into believing something is true when really it is not. | Optical Illusion |

A figure has this if it can be divided into two parts, each of which is the mirror image of the other. | Line Symmetry |

A figure has this when the figure is rotated 180 degrees about its center and the resulting figure coincides with the original. | Rotational Symmetry |

Can be thought of as a dot that represents a location in a plane or space. | Point |

An infinite number of points extending infinitely on both directions. | Line |

A flat surface that extends infinitely in all directions. (need 3 points) | Plane |

A part of a line having two end points. | Segment |

A part of a line having one endpoint. | Ray |

Consists of two different rays that have the same initial point called the vertex. | Angle |

0° | Acute |

m=90° | Right |

90° | Obtuse |

m=180° | Straight |

Two rays with a common endpoint going in opposite directions. | Opposite rays |

Two angles that share a common vertex and side but have no common interior points. | Adjacent angles |

To cut an object into two congruent parts. | Bisect |

A segment that bisects another segment into two congruent segments. | Segment bisector |

A ray that bisects an agle into two congruent angles. | Angle bisector |

The point that divides a segment into two congruent parts. | Midpoint |

Point on the same line. | Collinear |

Points on the same plane. | Coplanar |

Points contained outside an angle. | Exterior points |

Points contained inside an angle | Interior points |

Two or more coplanar lines traveling in the same direction and never intersect. | Parallel lines |

Two coplanar lines that intersect to for 90°<'s. | Perpendicular lines |

if a=b then a+c=b+c | Addition Property |

If a=b then a-c=b-c | Subtraction Property |

if a=b, then ac=bc | Multiplication Property |

if a=b, then a/c=b/c c does not equal 0. | Division Property |

For any real #a, a=a | Reflexive Property |

If a=b then b=a | Symmetric Property |

If a=b and b=c then a=c | Transitive Property |

if a=b then a may be substituted in for b in any equation or expression | Substitution Property |

a(b+c)=ab+ac | Distributive Property |

Any geometric object is congruent to itself. ex. | Reflexive |

If one geometric object is congruent to a second, then the second object is congruent to the first. | Symmetric |

If | Transitive |

Are two angles formed by two pairs of opposite rays having the same endpoint. | Vertical Angles |

If two angles are verticcal angles, then they are congruent. | Vertical Angles Theorem |

Two adjacent angles whose non-common sides are opposite rays | Linear Pair |

If two angles form a linear pair, then they are supplementary. | Linear Pair Postualte |

If two angles are complementary to the same angle or to congruent angles, then the two angles are congruent. | Congruent Complements Theorem |

If 2 angles are supplementary to the same angle or to congruent angles, then the two angles are congruent. | Congruent Supplements Theorem |

Created by:
AmandaaC