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# Pythagorean Theory

TermDefinition
inductive reasoning reasoning based on examples
deductive reasoning reasoning based on facts or rules
alternate exterior angles outside angles that lie on opposite sides of a transversal
alternate interior angles inside angles that lie on opposite sides of a transversal
converse the reversal of a statement
corresponding angles angles that are in the same position on two parallel lines in relation to a transversal
Distance Formula To find the distance between two points (x1,y1) and (x2,y2),
equiangular a polygon with congruent angles
exterior angles outside angles formed by two parallel lines cut by a transversal
formal proof two-column proof containing statements and reasons
informal proof paragraph explaining why statements are correct
hypotenuse side opposite of the right angle in a right triangle
interior angles inside angles formed by two parallel lines cut by a transversal or inside a polygon
legs the two side of a right triangle that form the right angle
parallel lines lines that never intersect no matter how for they extend
perpendicular lines two lines that intersect to form right angles
paragraph proof paragraph explaining why statements are correct
Pythagorean Theory In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of he lengths of the legs.
polygon simple, closed figure formed by three or more line segments
triangle a figure formed by three line segments that only intersect at the endpoints
two-column proof the formal proof that is presented in a two column format
transversal a line that intersects two or more other lines
remote interior angles the angles of a triangle that are not next to a given outside angle
regular polygon a polygon whose lines have the same measurement and whose sides have the same measurement
congruent having the same measure
Created by: kjones4514