No as for example the diagonals of a rectangle are equal in length whereas they are not equal in length in a parallelogram
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Every rectangle is a quadrilateral and a parallelogram
Yes. All rectangles are also parallelograms, but not all parallelograms are rectangles.
Some parallelograms are rectangles; all rectangles are parallelograms.
Here's something to think about: -- Every rectangle is a parallelogram. There are an infinite number of them. -- There are also an infinite number of more parallelograms that are not rectangles.
It's not possible to have all sides parallel. The quadrilaterals that have every side parallel to the one opposite it ... or two pairs of parallel sides ... are: -- parallelograms -- rhombera -- rectangles -- squares Notice that -- every square is also a rectangle, a rhombus, and a parallelogram. -- every rectangle is also a parallelogram. -- every rhombus is also a parallelogram.