Question

1. part b: select the word(s) in part a that made the statement become biconditional.

○ if and only if
○ not
○ then
○ if

1. part a: which statement is a biconditional statement formed from :

i will pass geometry if i complete my homework correctly.

○ i will not pass geometry if i do not complete my homework correctly.
○ i will not complete my homework correctly if i will not pass geometry.
○ i will pass geometry if, and only if, i complete my homework correctly.
○ i will complete my homework correctly if i will pass geometry.

Explanation:

Question 12 (Part B)

A biconditional statement is a statement that combines a conditional statement and its converse using "if and only if". The phrase "if and only if" is the key term that makes a statement biconditional, while "not", "then", and "if" alone are used in conditional (not biconditional) statements.

A biconditional statement has the form "P if and only if Q", meaning both "if P then Q" and "if Q then P" are true. The original statement is "I will pass Geometry if I complete my homework correctly" (which is "if complete homework correctly, then pass Geometry"). A biconditional would also assert the converse ("if pass Geometry, then completed homework correctly") and use "if and only if". The option "I will pass Geometry if, and only if, I complete my homework correctly" fits this, while the other options are either the inverse, incorrect converse, or just a conditional.

Answer:

A. If and only if

Question 13 (Part A)