quadrilaterals are consecutive and opposite angles always congruent?
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Not unless the parallelogram is a rectangle. In every parallelogram, consecutive angles are supplementary.
All rectangles, including squares.
always
It is a rectangle.
Squares and rhombuses can be congruent, but not always. If the rhombus is also a square, it is congruent to a square with the same dimensions. However, since a rhombus only demands for OPPOSITE angles to be congruent, and a square means ALL angles are 90 degrees, this is not always the case.