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

Difficulty: Easy

Correct Answer: Rhombus

Explanation:


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:

Only the rhombus satisfies the “all sides equal” requirement by definition.


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

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