Answer
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Step 1:: Understand the definition of a parallelogram and a rectangle.
A parallelogram is a geometric shape with opposite sides that are parallel and equal in length. A rectangle is a special type of parallelogram where all angles are right angles (90 degrees).
Step 2:: Analyze the given statement.
The statement "All parallelograms are rectangles" implies that if a shape is a parallelogram, then it must also be a rectangle.
Step 3:: Evaluate the statement using the definitions.
While it is true that all rectangles are parallelograms (since they have opposite sides that are parallel and equal in length), not all parallelograms are rectangles. This is because parallelograms do not necessarily have to have right angles.
Final Answer
The statement "All parallelograms are rectangles" is false.
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