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# Geometry

### Definitions

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)
Created by: bekaboo121390