Why is the contrapositive logically equivalent to the original implication (logic & truth table)

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Converse, Inverse, & Contrapositive - Conditional & Biconditional Statements, Logic, Geometry Converse, Inverse, & Contrapositive - Conditional & Biconditional Statements, Logic, Geometry
Conditional Statements: if p then q Conditional Statements: if p then q
Contrapositive of a Conditional Statement Contrapositive of a Conditional Statement
Logic: Propositions, Implication, Converse + Contrapositive Logic: Propositions, Implication, Converse + Contrapositive
Biconditional Statements | "if and only if" Biconditional Statements | "if and only if"
Contrapositive and original statement are equivalent Contrapositive and original statement are equivalent
Showing that the conditional and contrapositive are logically equivalent Showing that the conditional and contrapositive are logically equivalent
Determining that conditional and contrapositive are logically equivalent statements Determining that conditional and contrapositive are logically equivalent statements