If a figure is a parallelogram and has 4 right angles, then it is a rectangle.
Please explain whether it's true OR false.
Thanks. ( its for my math homework) =]
2007-10-19 10:34:02 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Yes a rectangle is defined as a quadrilateral of four right angles.
2007-10-19 10:37:58 · answer #1 · answered by Atius 2 · 1⤊ 0⤋
A good way to proceed would be to ask:
How can it be a parallelogram with 4 right angles and not be a rectangle?
Take the definition of a parallelogram. Take the definition of a rectangle. Try to find the loophole that would allow you to have a parallelogram with 4 right angles that is not a rectangle (one possibility is that all sides are exactly zero, in which case it is nothing -- but then it is no longer a parallelogram...).
Once you have eliminated that possibility (that a 4 right-angled parallelogram could be otherwise than a rectangle), you are left with the only other possibility: it is a rectangle.
2007-10-19 17:46:41 · answer #2 · answered by Raymond 7 · 0⤊ 0⤋
yes it is correct
because a rectangle has four right angles however only two has the same length and the other two has the same length
2007-10-19 19:11:33 · answer #3 · answered by Emma 2 · 0⤊ 0⤋