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Geo - Unit 1 vocab

TermDefinition
Point Indicates a location and has no size or shape.
Line Is made up of infinitely many points and has no thickness or width. there is exactly one of these through any 2 points.
Plane A flat surface made up of points that extend infinitely in all directions. There is exactly 1 of these through any 3 points.
Collinear points Points that lie on the same line
Coplanar points Points that lie on the same plane.
Intersection Two or more geometric figures and the set of points they have in common.
Space Defined as the boundless, three-dimensional set of all points; can contain lines and planes.
Skew lines Lines that are non-coplanar and do not intersect.
Line segment Can be measured because it has 2 endpoints which can be used to name it.
Betweenness of points For any real numbers a and b, there is another real number between a and b such that a < n < b. This relationship also applies to points on a line.
Segment addition postulate If three points A, B, and C are collinear and B is between A and C, then AB + BC = AC.
Congruent When two geometric figures have exactly the same size and shape.
Congruent segments When one segment can be mapped onto another segment.
Ray A part of a line that consists of one endpoint and all the points of the line on 1 side of the endpoint.
Opposite rays Two rays that share the same end point and form a line.
Absolute value The distance between two points on a number line.
Pythagoream theorem a^2 + b^2 = c^2
Midpoint (of a segment) A point that divides the segment into 2 congruent segments; this point will be halfway between the two endpoints.
Segment bisector A point, line, ray, or other segment that intersects a segment at its midpoint.
Angle Formed by two rays that have the same endpoint.
Inside When a point is located in the interior of an angle.
Outside When a point is located on the exterior of an angle.
On When a point is in contact with one of the angle's rays.
Acute angle An angle with a measurement more than 0 but less than 90.
Right angle An angle with a measuremnt of 90 degrees.
Obtuse angle An angle with a mesurement more than 90 but less than 180.
Straight angle An angle with a measurement of 180 degrees.
Congruent angles Angles with the same measure.
Angle bisector A ray that divides an angle into two congruent angles.
Angle addition postulate When a line/segment/ray divides and angle into smaller angles, the sum of the measures of the smaller angles, equal the measure of the larger angle.
Ajacent angles Two coplanar angles with a common side, a common vertex, and no common interior points.
Linear pair A pair of ajacent angles whose noncommon sides are opposite rays.
Vertical angles Two nonadjacent angles formed by intersecting lines; these angles are congruent.
Complementary angles Two angles whose measures have a sum of 90 degrees.
Supplementary angles Two angles whose measures have a sum of 180 degrees.
Perpendicular When a line, segment, or ray forms a right angles.
Polygon A closed plane figure formed by 3 or more segments.
Triangles Polygons with 3 sides.
Quadilaterals Polygons with 4 sides.
Pentagons Polygons with 5 sides.
Hexagons Polygons with 6 sides.
Heptagons Polygons with 7 sides.
Octogons Polygons with 8 sides.
Nonagons Polygons with 9 sides.
Decagons Polygons with 10 sides.
Hendecgons Polygons with 11 sides.
Dodecagons Polygons with 12 sides.
N-gons Polygons with 13 or more sides.
Diagonal A segment that connects two nonsecutive vertices
Convex polygon A polygon with no diagonal with points outside the polygon.
Concave polygon A polygon with at least 1 diagonal with points outside of the polygon.
Equilateral polygon A polygon in which all sides are congruent.
Equiangular A polygon in which all angles are congruent.
Regular polygon A convex polygon that is both equilateral and equiangular.
Irregular polygon A polygon that is not regular.
Perimeter (of a polygon) The sum of the lengths of its sides.
Area (of a polygon) the number of square units it encloses, found by multiplication.
Circumference The perimeter of a circle.
P=4s The formula for the perimeter of a square.
A=s^2 The formula for the Area of a square.
P=2(l+w) The formula for the perimeter of a rectangle.
A=lw The formula for the Area of a reactangle.
P=a+c+b The formula for the perimeter of a triangle.
A=1/2bh The formula for the area of a triangle.
c=2pir The formula for the circumference of a circle.
Polyhedron A space figure, or 3 dimensional figure whose surfaces are polygons.
Face Each polygon that makes a polyhedron.
Edge A segment that is formed by the insection of two faces
Vertex (of a polygon)A point where 3 or more edges intersect.
Surface area A two-dimensional meaurement of the area of a solid figure.
Volume The measure of the amount of space enclosed by a solid figure.
v=Bh The formula for the volume of a right prism.
v=Bh The formula for the volume of a right cylinder.
v=1/3Bh The formula for the volume of a Regular pyramid.
v=1/3Bh The formula for the volume of a Right cone.
v=4/3pir^3 The formula for the volume of a sphere.
Net A two-dimensional representation of a 3D object.
Transformation A function that maps a figure, the preimage, onto a new figure called the image.
Preimage The figure before it is translated.
Image The figure after it is translated.
Created by: Benji_BBgun
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