# math 96,

 A point represented as a small dot has no length, with or thickness. a line connecting two points along the shortest possible path, has no thickness and extends infinitely in both directions. A plane is a flat surface with no thickness and no boundaries. does not extend indefinitely and it does have a thickness. A ray is a half-line with its endpoint included. Half-lines any point on the line divides the line into three parts-the point and two half-lines. angle is formed by the union of two rays that have a common endpoint. A ray is called the initial side and the other the terminal side. vertex the common endpoint of and angles initial side and terminal side is the vertex of the angle. angels are measures how? by degrees. an acute angle measures less than 90 degree. a right angle on quarter of a complete rotation, measures 90 degrees. an obtuse angle measures more than 90 degrees but less than 180 degrees. straight angle on half a complete rotation, measures 180 degrees protractor used for finding the degree measure of and angle. complementary angles two angles whose measures have a some of 90 degrees supplementary angles two angles whose measures have a sum of 180 degrees vertical angles when two lines intersect the opposite angles parallel lines are lines that lie in the same plane and have to points in common. intersecting lines two different lines in the same plane are not parallel, they have single point in common. perpendicular lines lines intersect at an angle of 90 degrees Transveral pair of parallel lines with a third line that create 8 angles. alternate interior angles interior angles that do not have a common vertex on alternate sides of the transversal alternate exterior angles exterior angles that do not have a common vertex on alternate sides of the transversal corresponding angles one interior and one exterior angle on the same side of the transversal theorem a conclusion that is proved to be true through deductive reasoning triangle is a geometric figure that has three sides, all of which lie on a flat surface or plane. closed geometric beginning point and ending point are the same the triangle is closed. acute triangle all angles are acute right triangle one angle measures 90 degrees. obtuse triangle one angle is obtuse isosceles triangle two sides have equal length. equilateral triangle all sides have equal length. 60,60,60 degrees scalene triangle no two sides are equal in length. scale drawings figures that have the same shape, but not the same size. hypotenuse the side opposite the 90 degree angle. Pythagorean theorem the lengths of the three sides of a tight triangle. Tessellation or tiling is a pattern consisting of the repeated use of the same geometric figure to completely cover a plane, leaving no gaps and no overlaps. Circle is a set of points in the plane equally distant form a given point, its center. radius is a line segment from the center to any point on the circle. diameter is a line segment through the center whose endpoints both lie on the circle. circumference distance around a circle Volume amount of space occupied by a solid object, determined by the number of cubic units it takes to fill the interior of that object. rectangular solid the volume of the box. Cube if the length, width, and height are the same, the rectangular solid. polyhedron a solid figure bounded by polygons. a rectangular solid is and example. rectangular solid is bounded by sex rectangles, called faces. Pyramid is a polyhedron whose base is a polygon and whose side are triangles. Right circular cone inside a cylinder. sharing the same circular base as the cylinder. Sphere is the set of points in space equally distant from a given point of its center. surface area are of the outer surface of a three dimensional object. Three fundamental trigonometric ratios? since, cosine, tangent. Angle of elevation an angle formed by a horizontal line and the line of sight to an object that is above the horizontal line. Angle of depression angle formed by a horizontal line and the line of sight to an object that is below the horizontal line. A vertex is a point is? an edge is a line segment or curve that starts and ends at a vertex. vertices and edges form a graph by? the vertex with an odd number of attached edges is and odd vertex. a vertex with an even number of attached edges is a even vertex. Traversable? it can be traced without lifting the pencil from the paper and without tracing an edge more than once. Topology shapes that can be twisted, stretched, bent, and shrunk. Genus Gives the largest number of complete cuts that can be made in the object without cutting the object into two pieces. Topolgically equivalent objects with the same genus. Iteration a rule again and again to create a self-similar fractal like the broken-up triangle. fractal geometry broken up or fragmented shapes. euclidean geometry euclid given a point not on a line, there is one and only one line through the point parallel to the given line. hyperbolic geometry lobachevsky, bolyai given an point not on a line, there are an infinite number lines through the point that do no intersect the given line. Elliptic geometry Riemann there are no parallel lines. Klein bottle Klein bottle passes through itself without the existence of a hole, which is impossible in three-dimensional space. is what formula? rectangle is what formula? square is what formula? parallelogram is what formula? triangle is what formula? Trapezoid is what formula? standard form for circle. is what formula? hyperbola vertex  is what formula? Quadratic functions  is what formula? Prism  is what shift in a conics UP and Down.  what shift is this in conic left and right. C is what in conics the x intercept. is what formula? for a parabola Interior angles 3,4,6,5 exterior angles 1,2,3,7 corresponding line 1,5,-3,7-2,6-8,4 Pythagorean theorem. C is the longest side of a triangle. is what form? general conic equation Products to create conic equation is 2 variables and at least one has is squared. is what? Ellispe is what? hyperbola Authorryan666 ID217900 Card Setmath 96, Descriptionvocab Updated2013-05-06T02:56:39Z Show Answers