Question

Write the converse, inverse, and contrapositive of each of the following implication. 

(i) If x and y are numbers such that x = y, then x² = y² 

(ii) If a quadrilateral is a square then it is a rectangle

Answer 1

(i) Converse: If x and y are numbers such that x² = y² then x = y. 

Inverse: If x and y are numbers such that x ≠ y then x² ≠ y². 

Contrapositive : If x and v are numbers such that x² ≠ y² then x ≠ y. 

(ii) Converse: If a quadrilateral is a rectangle then it is a square. 

Inverse: If a quadrilateral is not a square then it is not a rectangle. 

Contrapositive : If a quadrilateral is not a rectangle then it is not a square