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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) |