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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) |