Let p: the shape is a rhombus. let q: the diagonals are perpendicular. let r: the sides are congruent. which represents "the shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent”?

Given that p represents "The shape is a rhombus", q represents "The diagonals are perpendicular", and r represents "The sides are congruent".

"if and only if" is represented using the biconditional logic operator (↔) and "and" is represented using the logical conjuction operator (∧).

Therefore, "The shape is a rhombus if and only if the diagonals are perpendicular and the sides are congruent” is represented by "p ↔ (q ∧ r)"