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. |