Geometry
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Created by:
pinkprincess325 on June 26, 2012
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30 terms
Terms | Definitions |
|---|---|
 Convex Polygon | a polygon such that no side extended cuts any other side or vertex |
| Concave Polygon | A polygon that has at least one diagonal with points outside the polygon |
| Conditional Statement | a type of logical statement that has two parts, a hypothesis and a conclusion |
| Converse Statement | a statement that reverses the subject and predicate |
| Inverse Statement | negate both the hypothesis and the conclusion |
| Contra-positive statement | switch and negate the hypothesis and the conclusion; assuming the original statement is true, this statement is always true too |
| If-Then form | The form of a conditional statement that uses the words "if" and "then." The "if" part contains the hypothesis and the "then" part contains the conclusion. |
| Bi-conditional Statement | A statement that contains the phrase "if and only if" |
| Laws of Detachment | If the hypothesis of a true conditional statement is true, then the conclusion is also true. |
| Law of Syllogism | if p ➡q and q➡r are true conditional statements then p➡r is true |
| Addition Property of Equality | if you add the same number to each side of an equation, the two sides remain equal |
| Multiplication Property of Equality | The property that states that if you multiply both sides of an equation by the same number, the new equation will have the same solution |
| Division Property of Equality | If you divide each side of an equation by the same nonzero number, the two sides remain equal |
| Substitution Property of Equality | If a=b, then b can be substituted for a in any equation |
| Distributive Property of Equality | a(b+c)=ab+ac |
| Reflexive Property of Equality | For any real number a, a=a |
| Symmetric Property of Equality | If a = b, then b = a |
| Transitive Property of Equality | If a = b and b = c, then a = c |
| Ruler Postulate | The points on a line can be numbered so that positive number differences measure distances. |
| Segment Addition Postulate | If B is between A and C, then AB+BC=AC |
| Protractor Postulate | the rays in a half-rotation can be numbered from 0 to 180 so that positive number differences measure angles |
| Congruence of Segments | segment congruence is reflexive, symmetric, and transitive |
| Congruence of Angles | angle congruence is reflexive, symmetric, and transitive |
| Parallel Postulate | If there is a line and a point not on the line, then there is exactly one line through the point parallel to the given line. |
| Perpendicular Postulate | If there is a line and a point not on the line, then there is exactly one line through the point perpendicular to the given line |
| Transversal | a line that intersects two or more coplanar lines at different points |
| Alternate Interior Angles Theorem | if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent |
| Alternate Exterior Angels Theorem | if two parallel lines are cut by a transversal, then alternate exterior angles are congruent |
| Consecutive Interior Angles Theorem | If two parallel lines are cut by a transversal, then the pairs of consecutive interior angles are supplementary |
| Corresponding Angles Converse | if two lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel |
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