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# Geometry Review Clif

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

parallel | lines that do not intersect have the same slope |

perpendicular lines | lines that intersect to form right angles |

alternate interior angles | two non-adjacent angles that lie on the opposite sides of a transversal between two lines that the transversal intersects (a description of the location of the angles); |

arc | part of a circle contained between two points located on the circle |

arc length | the length in linear measure of an arc of a circle; the product of the ratio of the arc measure and 360º and the circumference of the circle |

bisector (of a line segment) | a line, segment, ray, or plane that intersects a segment at its midpoint |

bisector (of an angle) | a line or ray that divides the angle into two congruent angles |

central angle | an angle whose vertex is the center of the circle and whose sides are radii of the circle. |

chord | a line segment whose endpoints lie on the circle |

circle | all points lying in one plane that are equidistant from a fixed point (the center) |

conditional statement | A statement that can be written in the form “If p, then q.” p is the hypothesis and q is the conclusion. Symbolically, if p, then q can be written as p-->q. |

contrapositive | the hypothesis and conclusion are both reversed and negated. “If p, then q.” becomes “If not q, then not p.” |

converse | the hypothesis and conclusion are reversed. “If p, then q.” becomes “If q, then p.” |

convex polygon | a polygon in which no diagonal contains points outside of the polygon. |

corresponding angles (parallel lines) | two angles that lie on the same side of a transversal, in corresponding positions with respect to the two lines that the transversal intersects. |

corresponding angles (in polygons) | angles that are in the same position in different plane figures |

cosine | a trigonometric function abbreviated cos In a right triangle, the ratio of the length of the leg adjacent to the reference angle to the length of the hypotenuse |

exterior angle of a polygon | an angle formed when one side of a polygon is extended; the angle is adjacent to an interior angle of the polygon |

Law of Syllogism | From (p implies q) and (q implies r) we conclude (p implies r). |

Law of Detachment | p and (p implies q) we conclude q. |

linear pair | two adjacent angles whose non-common sides are opposite rays; the sum of these angles is 180 |

major arc | an arc that measures 180º or more |

midpoint | the point halfway between the endpoints of a segment divides a segment into two congruent segments |

minor arc | an arc that measures less than 180º |

orthogonal drawings | the two dimensional top view, front view, and right-side view of a three-dimensional drawing |

platonic solids | the five regular polyhedra: tetrahedron, hexahedron, octahedron, dodecahedron, or icosahedron |

proof | a valid argument in which all of the premises are true |

regular polygon | a polygon that has congruent sides and congruent angles |

same-side interior angles (consecutive angles) | two angles that lie on the same side of a transversal and between the lines cut by the transversal, in corresponding positions with respect to the two lines that the transversal intersects. |

scale | the ratio of any length in a scale drawing to the corresponding actual length; the lengths may be in different units |

secant | a line, ray, or segment that intersects a circle at two points (i.e. that contains a chord) |

sine | a trigonometric function abbreviated sin. In a right triangle, the ratio of the length of the leg opposite the reference angle to the length of the hypotenuse. |

skew lines | non-coplanar lines that do not intersect |

tangent (to a circle) | a line that intersects a circle in exactly one point |

tangent (trigonometric function) | a trigonometric function abbreviated tan; In a right triangle, the ratio of the length of the leg opposite the reference angle to the length of the leg adjacent to the given angle. |

transversal | a line that intersects two or more other lines in the same plane at different points |

Created by:
kitty757