Converse, Inverse, & Contrapositive Statements

What is the converse statement of "If a number is divisible by 3, then it is divisible by 9."?

• If a number is divisible by 3, then it is divisible by 9.

• If a number is divisible by 9, then it is divisible by 3.

• If a number is not divisible by 3, then it is not divisible by 9.

• If a number is not divisible by 9, then it is divisible by 3.

What is the inverse statement of "If a number is divisible by 3, then it is divisible by 9."?

• If a number is divisible by 3, then it is divisible by 9.

• If a number is divisible by 9, then it is divisible by 3.

• If a number is not divisible by 3, then it is not divisible by 9.

• If a number is not divisible by 9, then it is divisible by 3.

What is the contrapositive statement of "If a number is divisible by 9, then it is divisible by 3."?

• If a number is divisible by 3, then it is divisible by 9.

• If a number is divisible by 9, then it is divisible by 3.

• If a number is not divisible by 3, then it is not divisible by 9.

• If a number is not divisible by 9, then it is divisible by 3.

If a polygon is a quadrilateral, then it is a square.

• TRUE

• FALSE

Tags

CCSS.5.G.B.3

CCSS.5.G.B.4

What statement is shown in the illustration?

• Conditional

• Contrapositive

• Converse

• Inverse

It means that the two statements have the same truth values for every possible interpretation.

• Logically Equal Statements

• Logically Equivalent Statements

• Logical Equal Statements

• Logical Equivalent Statements

Which statement is logically equivalent to the conditional statement?

• converse

• inverse

• contrapositive

• reverse

Which two statements should both be true to have a biconditional statement?

• conditional and converse

• conditional and inverse

• conditional and contrapositive

• converse and inverse

What is the converse of a contrapositive statement?

• conditional

• converse

• inverse

• contrapositive

What is the inverse of the converse of the contrapositive of an inverse statement?

• conditional

• converse

• inverse

• contrapositive