Answer
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Step 1:: Understand the definitions of parallelogram and rectangle.
A parallelogram is a quadrilateral with two pairs of parallel sides. A rectangle is a quadrilateral with opposite sides equal and all angles are right angles (90 degrees).
Step 2:: Examine the properties of parallelograms and rectangles.
While all rectangles are parallelograms (since they have two pairs of parallel sides and opposite sides equal), not all parallelograms are rectangles. This is because not all parallelograms have all angles as right angles.
Step 3:: Conclude the answer.
Therefore, the statement "all parallelograms are rectangles" is false.
Final Answer
B. False
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