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# Geometry

### Definitions

Geometry/Def | Answer | Geometry/Principles |
---|---|---|

Geometry | The study that deals with the properties, measurements, and construction of flat figures, and solid figures. | |

Line | The intersection of two surfaces. | |

Point | The intersection of any two lines. | |

Plane | A surface in which a straight line joins any two of it's points. | |

Line Segment | A limited portion of a line. | |

Equal Segment | When two line segments end points can be made to coincide. | |

Midpoint | A line segment is bisected by a point when it is divided into two equal parts by the point. | |

Trisection Points | When two points divide into three equal parts. | |

Angle | The figure formed by two straight lines drawn from the same point. | |

Equal Angles | If they can be made to coincide. | |

Perigon | When the generating line makes a complete revolution. | |

Straight Angles | An angle whose form one straight line extending through the vertex. | |

Adjacent Angles | When two angles have the same vertex and a common side between them. | |

Right Angles | When one straight line meets another so as to make two equal adjacent angles. | |

Perpendicular | When two lines form right angles with each other. | |

Acute Angles | An angle that is less than a right angle. | |

Obtuse Angles | An angle that is greater than a right angle but less than a straight line. | |

Reflex Angles | An angle greater than a straight angle | |

Oblique Angles | An angle other than a right or straight angle. | |

Complementary | Their sum is a right angle. | |

Supplementary | There sum is a straight angle. | |

Vertical Angles | When two straight lines intersect, the two angels not adjacent. | |

Protractor | The instrument used for measuring angles. | |

Triangle | A figure bounded by three straight lines. | |

Base | The side upon which a triangle is supposed to stand. | |

Exterior Angle of the Triangle | An angle formed by one side of a triangle and the adjacent side extended through the vertex. | |

Median of a Triangle | The line drawn from any vertex to the midpoint of the opposite side. | |

Altitude of a Triangle | The perpendicular drawn from a vertex to the opposite side. | |

Scalene Triangle | A triangle which has at least two sides equal. | |

Isosceles Triangle | A triangle which has all three sides equal. | |

Equilateral Triangle | A triangle which has all three sides equal. | |

Acute Triangle | A triangle which has three acute angles. | |

Obtuse Triangle | A triangle which has an obtuse angle. | |

Right Triangle | A triangle which has a right angle. | |

Hypotenuse | The side opposite the right angle. | |

Legs | Other two sides of the right angle. | |

Equi-angular Triangle | A triangle which has three equal sides. | |

Polygon | A plane figure bounded by straight lines. | (blank) |

Sides | The lines of a polygon. | (blank) |

Verticles | Intersections of the polygon. | (blank) |

Base | The side upon which a polygon is supposed to stand. | (blank) |

Interior Angle | An angle formed by two consecutive sides of a polygon. | (blank) |

Exterior Angle | An angle formed by one side of a polygon and the adjacent side extended. | (blank) |

Consecutive | Two sides that meet at any vertex. | (blank) |

Diagonal | A line joining two verticles that are not consecutive. | (blank) |

Convex Polygon | Interior angles is less than 180 degrees. | (blank) |

Concave Polygon | Atleast one interior angle greater than 180 degrees. | (blank) |

Regular Polygon | A polygon which is both equiangular and equilateral. | (blank) |

Center of the Polygon | The common point where the bisectors of the interior angles intersect. | (blank) |

Circle | A closed curve in a plane all of whose points are equally distant from a fixed point. | (blank) |

Circumference | The perimeter of a circle. | (blank) |

Diameter | A line through the center with it's ends on the circle. | (blank) |

Radius | A line joining the center with any point on the circle. | (blank) |

Chord | Any straight line whose ends are on the circle. | (blank) |

Arc | Any portion of a circle. | (blank) |

Semicircle | The arc which represents half a circle. | (blank) |

Quadrant | The arc which represents a quarter of a circle. | (blank) |

Congruent | Two plane figures having the same size and shape. | (blank) |

Corresponding parts | Equal parts of congruent polygons | (blank) |

Axiom | A general statement accepted without proof to be true. | (blank) |

Postulate | A geometric assumption accepted without proof to be true. | (blank) |

Proof | The process of deductive reasoning whereby the truth of a theorem or the correctness of a construction is established. | (blank) |

Theorem | A statement not self-evident but proved by a chain of reasoning. | (blank) |

Construction | A figure that satisfies certain given conditions and is drawn without instruments of measurement. | (blank) |

Corollary | Another geometric statement that is easily deduced from the given theorem just proved. | (blank) |

C.P.C.T.E. | Corresponding Parts of Congruent Triangles are Equal. | (blank) |

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bekaboo121390