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Howard Geometry 2
Chapter 2 Geometry Vocabulary
| Question | Answer |
|---|---|
| Adjacent Angles | Two angle that share a common vertex and common side, but no common interior points |
| Theorem | A true statement that follows from other true statements |
| Hypothesis | The "if" part of an if-then statement |
| Transitive Property | If AB=BC and BC=DE, then AB=DE |
| Bisect | To divide into two equal halves |
| Angle Bisector | A ray that divides and angle into two equal angles |
| Complementary Angles | Two angles whose sum is 90 degrees |
| Deductive Reasoning | Uses facts, definitions, properties, and laws of logic to make a logical argument |
| Supplementary Angles | Two angles whose sum is 180 degrees |
| Conclusion | The "then" part of an if-then statement |
| Conditional Statement | An If-Then statement |
| Linear Pair | Two adjacent angles whose non-common side is the same line |
| Segment Bisector | A segment, ray, line, or plane that intersects a segment at its midpoint |
| Symmetric Property | If AB=DE, then DE=AB |
| Vertical Angles | Two non-adjacent angles whose sides are formed by 2 intersecting lines |
| Vertex | The point where two sides on an angle meet |
| Congruent Segments | Segments with the same length |
| Reflexive Property | AB=AB |
| Addition Property | If x = 6, then x + 2 = 6 + 2 |
| Subtraction Property | If m = 5, then m - 3 = 5 - 3 |
| Multiplication Property | If n = 2, then 3 ∙ n = 3 ∙ 2 |
| Division Property | If 8 = t, then 8 ÷ 2 = t ÷ 2 |
| Substitution Property | If n = 3 and y = 4∙ n, then y = 4 ∙ 3 |
| Linear Pair Postulate | Linear pairs are supplementary. |
| Vertical Angles Theorem | Vertical angles are congruent. |
| Midpoint | The point on a segment that divides it into two, congruent segments. |
| Midpoint Formula | The midpoint of (a,b) and (c,d) is: ( [a+c]/2 , [b+d]/2 ) Average the x-coordinate and average the y-coordinates. |