Math Conditional Form

3 QUESTIONS: Please answered them in clear and organized form:

1. Explain whether the following statement is a valid definition: “A 150° angle is an obtuse angle.” Use the converse, biconditional, and at least one Euler diagram to support your answer.

2. Explain the purposes of inductive and deductive reasoning in mathematics. Be sure to define both inductive reasoning and deductive reasoning and describe how each can help you develop and prove theorems

3. Start with the following statement:   Vertical angles are congruent.

• State the conditional and three other forms of the statement.

• If you know that a statement is true, what do you know about the truth of its converse, inverse, and contrapositive? Use at least one truth table and at least one property to support your reasoning.