Which of the following is NOT a property of a parallelogram?
1) Opposite angles are congruent. 2) Opposite sides are parallel 3) Diagonals are Congruent 4) Opposite sides are congruent
pop the rest of your q buddy
diagonals angles are the same in a parallelogram opposite sides are congruent its a parallelogram... so pretty confident that each of the opposite sides would be parallel what does that leave us with?
given the choices, i'd go 1
Thanks for your help.
It's not 1
Can you tell me how you got it
opposite sides can be swapped, opposite sides are parallel diagonal angles can be swapped ... u sure?
If you're speaking to me, then yes, I'm sure. :-)
well.. where am i lying...?
|dw:1370616300042:dw|
|dw:1370616268471:dw| 1) Opposite angles are congruent....? these can't be swapped, they're not the same so they're not congruent
Yes, opposite angles ARE congruent. |dw:1370616474175:dw|
those are diagonal angles
diagonals are congruent
Stop it. I'm pointing to the corners, not the lines. The diagonals are NOT congruent.
Diagonals are NOT congruent in a parallelogram.
ok. why?
Congruency essentially means "identical in every way". Are the diagonals identical lengths?
Look at the two lines, compare the sizes. Opposite angles means the exact other side, as in |dw:1370616785630:dw|
ok, different definitions, to me those are diagonally opposite angles to me; opposite angles across a vertical split is the 2 i circled initally
but fair enough, ur right, my bad
So the answer to the original problem is... ? :-)
3) Diagonals are congruent
so it is 3
YES!! We have a winner!!! :-)
BTW, Diagonals ARE congruent on a square - which is also a parallelogram. :-) But it is not a "property" of parallelograms because all parallelograms are not squares. The other 3 properties listed are ALWAYS true for ALL parallelograms.
you guys are really smart
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