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Mathematics 10 Online
OpenStudy (anonymous):

Which of the following is NOT a property of a parallelogram?

OpenStudy (anonymous):

1) Opposite angles are congruent. 2) Opposite sides are parallel 3) Diagonals are Congruent 4) Opposite sides are congruent

OpenStudy (jack1):

pop the rest of your q buddy

OpenStudy (jack1):

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?

OpenStudy (jack1):

given the choices, i'd go 1

OpenStudy (anonymous):

Thanks for your help.

OpenStudy (anonymous):

It's not 1

OpenStudy (anonymous):

Can you tell me how you got it

OpenStudy (jack1):

opposite sides can be swapped, opposite sides are parallel diagonal angles can be swapped ... u sure?

OpenStudy (anonymous):

If you're speaking to me, then yes, I'm sure. :-)

OpenStudy (jack1):

well.. where am i lying...?

OpenStudy (anonymous):

|dw:1370616300042:dw|

OpenStudy (jack1):

|dw:1370616268471:dw| 1) Opposite angles are congruent....? these can't be swapped, they're not the same so they're not congruent

OpenStudy (anonymous):

Yes, opposite angles ARE congruent. |dw:1370616474175:dw|

OpenStudy (jack1):

those are diagonal angles

OpenStudy (jack1):

diagonals are congruent

OpenStudy (anonymous):

Stop it. I'm pointing to the corners, not the lines. The diagonals are NOT congruent.

OpenStudy (anonymous):

Diagonals are NOT congruent in a parallelogram.

OpenStudy (jack1):

ok. why?

OpenStudy (anonymous):

Congruency essentially means "identical in every way". Are the diagonals identical lengths?

OpenStudy (anonymous):

Look at the two lines, compare the sizes. Opposite angles means the exact other side, as in |dw:1370616785630:dw|

OpenStudy (jack1):

ok, different definitions, to me those are diagonally opposite angles to me; opposite angles across a vertical split is the 2 i circled initally

OpenStudy (jack1):

but fair enough, ur right, my bad

OpenStudy (anonymous):

So the answer to the original problem is... ? :-)

OpenStudy (anonymous):

3) Diagonals are congruent

OpenStudy (anonymous):

so it is 3

OpenStudy (anonymous):

YES!! We have a winner!!! :-)

OpenStudy (anonymous):

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.

OpenStudy (anonymous):

you guys are really smart

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