Logical Reasoning
Converse
The statement formed by swapping the antecedent and consequent of an implication.
| English | Converse |
|---|---|
| Bahasa Melayu | Akas |
| 中文 | 逆命题 |
How it is used
The converse of "if a number ends in 0, then it is divisible by 5" is "if a number is divisible by 5, then it ends in 0". The original is true, but the converse is false, since 15 is divisible by 5 yet ends in 5.
Where it shows up in SPM
Converse comes right after implication in Form 4. Paper 1 asks "which is the converse of ...".
Paper 2 asks you to write the converse of a given implication and sometimes to decide whether that converse is true, often using a counter-example.
Don't confuse it with
Open the chapter: Logical Reasoning →
Frequently asked questions
How do I write the converse of an implication?
Swap the antecedent and consequent. The converse of "if x = 2, then x² = 4" is "if x² = 4, then x = 2".
Notice the original is true but the converse is false, since x could also be −2.
Is the converse always true when the implication is true?
No. A true implication can have a false converse.
"If a shape is a square, then it is a rectangle" is true, but its converse "if a shape is a rectangle, then it is a square" is false. Always test the converse separately.