Inductive and Deductive Reasoning in Geometry
Inductive reasoning is the practice of trial and error. The ability to recognize patterns and predict what will happen next based on what has already happened in the picture
Recognizing patterns and modeling them with equations
Finding the pattern and representing what is happening in the patter with an equation. example: n+17=x
Special angle relationships
Special angle relationships involve shortcuts to finding angles in pictures with parallel lines or reverse angles or adding certain angles together and subtracting them from either 180 or 360 degrees to get the angle of the original angle
points of congruence of triangles
shortcuts of proving two different triangles either congruent or not congruent. these shortcuts are just a combination of congruent lines or angles and if several of the are present that it is congruent as long as it is not aaa/ass these two shortcuts do not work
constructions w/ compass and straight edge
Using nothing but a compass and a straight edge to either transfer reflect or construct a shape or line/angle
discovering and proving triangle properties
adding bother interior and exterior angles together and finding general rules to find these angles in any true triangle. example: all interior angles in a triangle add up o 180 no matter what
Discovering and proving polygon Properties
Same thing that we did for triangles but instead we found general rules for any polygon and certain formulas to find these angles. example: all exterior angles of a polygonal no matter what all add up to 360
