All sides congruent – which quadrilateral? Choose the figure in which all four sides are congruent (equal in length).

Introduction / Context:Among common quadrilaterals, rectangles and general parallelograms do not require all sides to be equal; they require opposite sides equal. A rhombus requires all four sides equal (congruent), while angles need not be right angles. A kite has two pairs of adjacent equal sides, not all four.

Given Data / Assumptions:The question asks for a quadrilateral with all sides congruent, independent of angles.

Concept / Approach:Recall definitions: rectangle = opposite sides equal, all angles 90°; parallelogram = opposite sides equal and parallel; rhombus = all sides equal; kite = two pairs of adjacent equal sides.

Step-by-Step Solution:

Verification / Alternative check:Square is a special case of a rhombus (also a rectangle), but the generic name asked here is “rhombus”.

Why Other Options Are Wrong:Rectangle/parallelogram lack the “all sides equal” constraint; kite has only adjacent pairs equal.

Common Pitfalls:Answering “rectangle” because of right angles; equality of all sides is the key, not angles.

Final Answer:Rhombus