Unit 2 Words
Conditional
An if-then statement.
Converse
Switching the hypothesis and conclusion of a conditional statement.
Inverse
Negating the hypothesis and conclusion of a conditional statement.
Contrapositive
Switching and Negating the hypothesis and conclusion of a conditional statement.
Biconditional
When the conditional and the converse are true, you can combine them using either iff or if and only if.
Deductive Reasoning
The process of reasoning logically from given statements to a conclusion.
Law of Detachment
If p → q is a true statement and p is true, then q is true.
Law of Syllogism
If p → q and q → r are true statements, then p → r is a true statement.
Reflexive Property
Symmetric Property
Transitive Property
Vertical Angles
Two angles whose sides are opposite rays.
Adjacent Angles
Two coplanar angles with a common side, a common vertex, and no common interior points.
Complementary Angles
Two angles with a sum of 90.
Supplementary Angles
Two angles with a sum of 180.
Vertical Angles Theorem
Vertical angles are congruent.