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