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Algebra 1 Chapter 12

McDougal Littell

Square-root function The function define by y=√X
Conjugates The expression (a+ √b) and (a-√b) are conugates of each other.
Complete the square The process of rewriting a quadratic equation so that one side is a perfect square.
Pythagorean theorem If a triangle is a right triangle, then the sum of the squares of the lenghts of the legs a and b equals the square of the leghth of the hypotenuse.
Hypotenuse The side opposite the right angle in a right triangle.
Legs of a right triangle The two sides of a right triangle that are not opposite the right triangle.
Hypothesis The "if" part of an if-then statement. In the "if p, then q," p is the hypthesis.
Conclusion If the "then" part of an if-then statement. In the statement "if p, then q," q is the conclusion.
Converse A related statment in which the hypothesis and conclusion are interchanged.
Distance formula The distance d between the points (x1,y1) and (x2,y2)
Midpoint between two points The midpoint of the line segment connecting them.
Midpoint formula The midpoint between (x1,y1) and (x2,y2)
Trigonometric Ratio The ratio of the lengths of two sides of a right triangle.
Postulates, or axioms The basic properties of mathematics that mathematicians accept without proof.
Theorems A statement that can be proven to be true.
Conjecture A statement that is thought to be true but is not yet proved. Often it is a statement based on observation.
Indirect Proof A type of proof where it is first assumed that the statement is false.
Created by: dhmahlman