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Mathematics 11 Online
OpenStudy (anonymous):

Which statement about a parallelogram is always true? The diagonals are congruent. The diagonals are perpendicular. The adjacent sides are congruent. The adjacent angles are supplementary. is it D

OpenStudy (anonymous):

@mathslover

OpenStudy (anonymous):

Well, which ones don't make sense?

OpenStudy (anonymous):

c or a

OpenStudy (anonymous):

Does b make sense?

OpenStudy (nathan917):

A parallelogram is a four sided shape where the opposite sides are parallel to each other and of the same length. The opposite internal angles also equal one another, and the diagonals bisect one another. A parallelogram has a rotational symmetry of 2. and all parallelogram have diagonals of equal lentgh

OpenStudy (anonymous):

I don't think all parallelograms have diagonals of equal length. Only rectangles do.

OpenStudy (anonymous):

|dw:1368288083272:dw| Look at this and determine what the angles on each side of the vertical line should add up to.

OpenStudy (anonymous):

Yeah, Nathan917, the diagonals are certainly not equal in a general parallelogram.

OpenStudy (anonymous):

are they supplementary? @Ezea 180

OpenStudy (nathan917):

judging from the one pictured: All four sides are congruent. Not always true All four angles are right angles. Not always true The diagonals bisect each other. RULE: always true The diagonals are congruent. Not always true Parallelogram ABCD:

OpenStudy (anonymous):

so it is D?

OpenStudy (anonymous):

They are supplementary. So, those two angles that are actually part of the parallelogram satisfy what condition with relation to one another?

OpenStudy (nathan917):

yes, im going with D.

OpenStudy (anonymous):

That adjacent angles will add up to 180

OpenStudy (anonymous):

Yes of course, the angles are adjacent and clearly add to 180 if you take it on faith that the sum of the degree measure of all angles in a quadrilateral is 360.

OpenStudy (nathan917):

Say here that. That the parallel sides can never meet. A parallelogram is a four sided shape (a quadrilateral) where the opposite sides are parallel to each other and of the same length. The opposite internal angles also equal one another, and the diagonals bisect one another. A parallelogram has a rotational symmetry of 2.all parallelogram have diagonals of equal length

OpenStudy (anonymous):

I don't know where you are copy pasting that from, but you shouldn't answer a question unless you are sufficiently positive of the results on your own and can justify them.

OpenStudy (anonymous):

Some more good advice for mathematics of all kinds is to draw pictures and try to discern from there. Most everything you can think of can be drawn in one way or another. Good luck.

OpenStudy (nathan917):

Ive looked it up and They say its The diagonals are perpendicular. So. im going with bing.

OpenStudy (anonymous):

I don't even know how to respond to that. Perpendicular diagonals is a special case in rhombus and kites. Source: I'm a certified math teacher with an undergraduate degree in mathematics. Please do not just "Bing" something and state it as fact.

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