Unit 2 Logic and Proofs

2. A mathematical statement that i regarded as “self-evident” and accepted without proof.
4. Statements A statement joining two events together based on a condition in the form of “If something, then something”
5. Statements typically appears as the body of another statement, such as the if statement.
7. the exact opposite.
8. of Equalities if both the sides of an equation are multiplied by the same number, the expressions on the both sides of the equation remain equal to each other.
10. Case The part of a recursive definition or algorithm that is not defined in terms of itself.
11. Proofs If two parallel straight segments A and B are crossed by a transversal segment C, the alternate interior angles are congruent
12. Diagrams an illustration that uses circles to show the relationships among things or finite groups of things.
14. When two statements are connected with an 'AND' gate, we can say that they have

1. Reasoning the process by which a person makes conclusions based on previously known facts.
2. Property adding the same quantity on both sides of an equation produces equivalent results.
3. Reasoning a method of reasoning in which a general principle is derived from a body of observations.
6. created when the hypothesis and conclusion are reversed
9. Proofs a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.
13. Bisector is concerned with the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle.