Question

All parallelograms are rectangles. true or false

Answer 1

That's false.  Not all parallelograms are rectangles, only some of them are. 
If a parallelogram wants to be a rectangle, then it has to agree to have a
right angle (90 degrees) at one corner.


(I know, I know.  Rectangles have right angles at ALL four corners. 
But if a parallelogram has one right angle AND it's still a parallelogram,
then it turns out that all four of its angles are right angles.  So if you tell
a parallelogram that one of its angles has to be a right angle, and it wants
to still be a parallelogram, then it must turn into a rectangle.)