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Pythagorean Theory
Term | Definition |
---|---|
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 |