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# Geom Unit 2 Vocab

Term | Definition |
---|---|

Dilation | A transformation that changes the size of the figure, but not the shape, based on the ratio given by a scale factor |

Scale Factor | When a figure is dilated by a scale factor greater than 1, the figure becomes larger. When a figure is dilated by a scale factor less than 1, the figure becomes smaller. |

Corresponding Angles and Sides | When a figure is transformed under dilation, the corresponding angles between the pre-image and image are equal. Corresponding sides are proportional. |

Two Column Proof | A series of statements and reasons, often displayed in a chart, that works with given information to the statement that needs to be proven |

Paragraph Proof | Also uses a series of statements and reasons that work with given information to the statement that needs to be proven, but is presented in paragraph form |

Angle-Angle Similarity | If two pairs of corresponding angles of the triangles are congruent, then the triangles are similar. |

Rigid Motion | A transformation of points in space consisting of a sequence of one or more translations, reflections, and/or rotations. Original shape to new shape is unchanged. |

Congruent Figures | Figures that have the same corresponding side lengths and the same corresponding angle measures as each other. |

CPCTC (Corresponding Pairs of Congruent Triangles are Congruent) | Two triangles are congruent if and only if their corresponding sides and corresponding angles are congruent. |

ASA (Angle-Side-Angle) | If two angles and the included side of a triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent. |

SSS (Side-Side-Side) | If three sides of a triangle are congruent to three sides of another triangle, then the two triangles are congruent. |

SAS (Side-Angle-Side) | If two sides and the included angle of a triangle are congruent to two sides and the included angle of another triangle, then the triangles are congruent. |

AAS (Angle-Angle-Side) | If two angles and a non-included side of a triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent. |

Reflexive Property | Any value is equal to itself. |

Symmetric Property | If a = b, then b = a. Also, if segment AB is present, then it is equal to segment BA. AB = BA |

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

Vertical Angle Theorem | States that vertical angles are congruent |

Vertical Angles | A pair of non-adjacent angles formed when two lines intersect |

Alternate Interior Angle Theorem | If two parallel lines are cut by a transversal, then the alternate interior angles formed by the transversal are congruent. |

Alternate Exterior Angle Theorem | If two parallel lines are cut by a transversal, then the alternate exterior angles formed by the transversal are congruent. |

Corresponding Angles Postulate | If two parallel lines are cut by a transversal, then the corresponding angles formed by the transversal are congruent. |

Triangle Sum Theorem | The sum of the measures of the angles of a triangle is 180 degrees. |

Isosceles Triangle Theorem | If two sides of a triangle are congruent, then the angles opposite of those sides are also congruent. |

Triangle Mid-Segment Theorem | If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side and half its length. |

Angle Bisector | An angle bisector is the line or line segment that divides the angle into two equal parts. |

Segment Bisector | A point, segment, line, or plane that divides a line segment into two equal parts |