Term | Definition |
Law of Detachment | If a conditional is true and its hypothesis is true, then its conclusion is true. |
Conditional | Another name for an if – then statement |
Supplementary | Two angles whose measures have a sum of 180 |
Converse | A conditional switches the hypothesis and the conclusion |
Hypothesis | The part of a conditional following if |
Negation | A statement that has the opposite truth value |
Complementary | Two angles whose measures have a sum of 90 |
Deductive Reasoning | The process of reasoning logically from given statements to a conclusion |
Adjacent | Two angles that share a common side. |
Formal Proof | A proof that contains statements and reasons organized into two columns is a |
Venn Diagram | A diagram that uses circles to illustrate conditionals |
Inverse | Negates both the hypothesis and conclusion of a conditional statement |
Law of Syllogism | Allows you to state a conclusion from two true conditional statements when the conclusion of one statement is the hypothesis of the other statement. |
Conclusion | The part of a conditional following then |
Vertical Angles | Two angles formed by intersecting lines |
Counterexample | An example or instance of the statement that makes the statement false. |
Equivalent Statements | Statements with the same truth value |
Truth Value | A conditional is either true or false |
Contrapositive | Switches and negates both the hypothesis and conclusion of a conditional statement. |
Inductive Reasoning | Reasoning based on patterns you observe. |
Algebraic Proof | A proof that is made up of a series of algebraic statements |
Transversal | A line that intersects two coplanar lines at two distinct points. |
Isosceles Triangle | A triangle that has at least two sides congruent. |
Scalene Triangle | A triangle that has no sides congruent. |
Alternate Interior Angles | Non-adjacent interior angles that lie on opposite sides of a transversal. |
Same Side Interior Angles | Angles that lie on the same side of a transversal and between two lines. |
Corresponding Angles | Angles that lie on the same side of a transversal in corresponding positions. |
Equiangular Triangle | A triangle that has all angles congruent. |
Alternate Exterior Angles | Non-adjacent exterior angles that lie on opposite sides of a transversal. |
Acute Triangle | A triangle that has all acute angles. |
Point Slope Form | What form is the following equation? y-y1=m(x-x1) |
Exterior Angle | An angle formed by a side and an extension of an adjacent side. |
Polygon | A closed plane figure with at least three sides that are segments. |
Convex Polygon | A polygon that has no diagonal with points outside the polygon. |
Slope Intercept Form | What form is the following equation? y=mx+b |
Concave Polygon | A polygon with at least one diagonal with points outside the polygon |
Equilateral | A polygon with all sides congruent. |
Right Triangle | A triangle that has one right angle. |
Obtuse Triangle | A triangle that has one obtuse angle. |
Equilateral Triangle | A triangle that has all sides congruent. |
Equangular Polygon | A polygon with all congruent angles. |
Regular Polygon | A polygon with both congruent angles and congruent sides. |
Standard Form | What form is the following equation? Ax+By=C |
Remote Interior Angles | For each exterior angle there are two nonadjacent interior angles called these. |