Inductive Reasoning
A type of reasoning that reaches conclusions based on a pattern of specific examples or past events.
Hypothesis
Conclusion reached after using Inductive Reasoning. Also a conjecture.
Conjecture
Conclusion reached after using Inductive Reasoning. Also a hypothesis.
Counterexample
An example for which a conjecture/hypothesis is false.
Isometric Drawings
Allows us to show 3 sides of a figure from a corner view. Shown in 3-D.
Orthographic Drawings
Allows us to show 3 dimensions of a figure, but from three specific 2-D viewpoints. These are Top, Front, and Right.
Foundation Drawings
Shows the base of a structure and gives numbers to show the height of the structure. Looks like the "Top" version of the Orthographic.
Net
2-D pattern that can be folded to create a 3-D figure.
Point
Location in space represented by capital letters.
Line
Series of points that extend into opposite directions without end.
Collinear Points
Points that fall upon the same line.
Plane
Flat surface in space with no thickness, may contain lines points, rays, etc. Named by 3 non collinear points.
Segment
Portion of a line containing two endpoints and all points between.
Ray
Portion of a line containing one endpoint and all points on 1 side of that endpoint.
Opposite Rays
2 collinear rays with the same endpoint.
Parallel Lines
Coplanar Lines that do not intersect.
Skew Lines
Non coplanar, Non parallel, not on the same plane lines.
Parallel Planes
Planes that do not intersect.
Midpoint
A point that divides a segment into 2 congruent segments.
Angle
Two rays with a shared or similar endpoint. This endpoint is called a vertex.
Obtuse Angles
90<x<180
Acute Angles
0<x<90
Right Angles
x=90
Bisector
A line, segment, ray, or plane that intersects a segment at its midpoint.
Angle Bisector
A ray that divides an angle into two congruent angles.
Perpendicular Lines
Lines that intersect and form right angles.
Perpendicular Bisector
The Perpendicular Bisector of a segment or ray that is perpendicular to the segment at the midpoint.
Distance Formula
d = ?[( x? - x?)� + (y? - y?)�]
Midpoint Formula
(x?+x?)/2, (y?+y?)/2
Perimeter
Total distance around the outside of an object.
Area
The space occupied inside of a 2-D figure.