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Transcript of Math Vocabulary
Mod 6 Math Skipper Point: a point is a location it has neither shape nor size. Points lines and Planes A Point Line: a line is made up of points and has no thickness or with. L M Line Plane: a plane is a flat surface made up of points that extend infinitely in all directions. A B C Plane Intersection the Intersection of two or more geometric figures is the set of points they have in common. Two lines intersect in a point. lines can intersect plane and planes ca intersect each other. Collinear and Coplanar M Collinear : When points are located on the same line S R Point M is the intersection of lines S and R A B C Collinear Points Line segment, Congruent segment, and Between points. Coplanar: When points are found on the same plane Line segment : can be measured by its two end points. a segment with endpoints A and B can be named AB or BA. A B C A B Distance and Midpoint Distance: the distance between two points is the length between the segment with those points as the end points. Congruent Segments : segments that have measure that are the same. 3cm 3cm Same length A B The length between point A and B is the distance Between Points: a point that is between two other points. D E F E is between points D and F Midpoint: the halfway point between two endpoints Rays and opposite rays Ray : a ray is part of a line. It has one end point and extends indefinitely in the other direction. A B C this is ray AC or AC Opposite Rays: when two rays share a common endpoint. (x -x ) +(y -y ) 2 1 2 1 L M N 2 2 ML and MN are opposite rays. The Distance Formula Angles Angles : are formed by two non collinear rays that have a common end point.
Sides : the rays of the angle.
Vertex : the common endpoint. This is an angle Q R S Vertex Side RS Side RQ Interior and Exterior A B C D E F G Points E and D are
in the interior and
Points F and G are
in the exterior. More Angles Right, Acute, Obtuse angles ( x +x 1 2 2 , ) y +y 1 2 2 D E F Point E is the midpoint of line DF _ Segment Bisector: a segment, line, or plane that intersects a segment at its midpoint Right angle: an angle that is 90 degrees
Obtuse Angle: an angle more than 90 degrees
Acute Angle: an angle less than 90 degrees Right Obtuse Acute This symbol means
its a right angle Degrees: i the unit angles are measured in Angle Bisector : the ray that divides an angle into to congruent angles. G Q R S T RS is angle bisector of
QRT K E M J In the figure, J is the midpoint of KE. Plane G, and MJ are all bisectors of KE. _ _ Special Angle Pairs Adjacent Angles: two angles that lie in the same plane and have a common vertex and a common side, but no common interior points. Complementry Angles: two angles with measures that have a sum of 90. Angle Pair Relations 3 4 Angle 3 and angle 4 are complementry Supplementry Angles: two angles with measures that have the sum of 180. 1 7 Angle 5 and angle 6 are supplementry Polygon: a closed figure formed by a finite number of coplaner segments called sides as long as the sides have common endpoints and each side intersects exactly two other side but only at there endpoints. polygons Vertex Of A Polygon: is the vertex of each angle. a polygon is named by the letters of its vertices, written in order of consecutive vertices. A B C D E G H C is a vertex Side GH Polygon GHABCDE Concave and Convex: suppose the line containing each side is drawn. Concave, Convex, N-gon Linear Pair: a pair of adjacent angles with noncommon sides that are opposite rays Vertical Angles: are two nonadjacent angles formed by two intersecting lines 3 4 3 and 4 are both adjacent angles. 1 7 1 and 7 is a linear pair. 3 7 1 2 3 and 2 are verticle angles 1 and 7 are also vertical angles Concave: when any of the lines contain any point in the interior of the polygon Convex: when no points of the lines are in the interior N-gon: A pollygon with n sides is a n-gon (a pollygon with 13 or more sides) Convex Concave 13-gon Equilateral Polygon: a polygon with sides that are all congruent Equilateral Polygons, Equiangular Polygons, and Regular Polygons Equiangular Polygon: a polygon with angles that are all congruent Regular Polygon: a convex polygon that is both equilateral, and equiangular 4 4 90 This square is an example of all of the above. It is equiangular, equilateral, and a convex polygon. Perimeter of a Polygon: the sum of the lengths of the sides of the polygon. Perimeter, Circumference,and Area Circumference: the distance around a circle Area: the number of square units needed to cover a surface. 4 8 8 4 Perimeter= side+side+side+side The perimeter of the figure is 24 Polyhedron : a solid with all flat surfaces that enclose a single region of space. Polyhedron Circumference Area= Length x width 5 5 The area of the figure is 25 Types of Solids Face, edges, vertex Polyhedrons: Prism: a polyhedron with two parallel congruent faces called bases connected by parallelogram faces. Base: Pyramid: a polyhedron that has a polygonal base and three or more triangular faces that meet at a common vertex. Face: each flat surface of the polyhedron.
Edges: the line segments where the faces intersect.
Vertex: the point where two or more edges intersect. Face Polyhedron Vertex Face Face Vertex Edge Edge Regular polyhedron: where all the faces are regular congurent polygons and all the edges are congurent Regular Polyhedron and Platonic solids base base A Rectangular Prism Not Polyhedrons Types of Solids Cylinder: a solid with congruent parallel circular bases connected by a curved surface. Cone: a solid with a circular base connected by a curved surface to a single vertex. Sphere: a set of points in space that are the same distance from a given point. A sphere has no faces, edges, or vertices. Sphere Cylinder Cone Surface Area and Volume Platonic Solids: there are exactly 5 types of regular polyhedrons Surface Area: a two-dimensional measurement of the surface of a solid figure. Octahedron cube Icosahedron Volume: the measure of the amount of space enclosed by a solid figure.