QUAD has sides QU=4, UA=4 and AD=4 QD must be a rhombus
Ensuring that all sides of quadrilateral QUAD are equal in length and that opposite angles are congruent would confirm that the quadrilateral is a rhombus.
A rhombus is a straightforward quadrilateral known by all four sides being of equal length. In this scenario, with sides UA and AD both measuring 4 inches, it follows that sides QU and QD will also share this identical length.
Therefore, quadrilateral QUAD must be a rhombus. Consequently, the length of QU is also 4, making all four sides of the rhombus congruent.
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Sides QU and DA of quadrilateral QUAD are parallel. Sides UA and DA each measure 4 inches. What additional information would guarantee that quadrilateral QUAD is a rhombus?