math 96,
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ryan666
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217900
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math 96,
Updated:
2013-05-05 22:56:39
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geometry vocab
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vocab
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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