Blog Entry #2

Critical Thinking

#35

Biconditional:

- A statement is a biconditional statement if and only if it is a statement that can be written in the form "p if and only if q."

Conditional: 

- If a statement is a biconditional statement, then it is a statement that can be written in the form "p if and only if q." (True)

Converse: 

- If a statement can be written in the form "p if an only if q", then it is a biconditional statement. (True)

The biconditional is true because both the conditional statement and converse are true.

Write About It

#36

Definition: 

- A ray that divides an angle into two congruent parts.

Conditional:

- If a ray divides an angle into two congruent parts, then it is an angle bisector.

Converse: 

- If a ray is an angle bisector, then it divides an angle into two congruent angles.

The saying "A good definition is reversible" means that the meaning is good if both the conditional and statement are true. Like for example, the angle bisector. Both its conditional and converse are true, so that means the word was defined well.

Short Response

#41

Bicondtional: 

-You will get a traffic ticket if and only if you are speeding.

Conditional Statements:

- If you get a traffic ticket, then you are speeding.

- If you are speeding, then you will get a traffic ticket.

Biconditional is false because the conditional of the biconditional is false. In order for the biconditional to be true, both the converse and conditional have to be true.