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Mathematics 18 Online
OpenStudy (anonymous):

Can anyone tell me if this quad has enough characteristics to be a parallelogram?

OpenStudy (anonymous):

OpenStudy (anonymous):

Its a Sideways Rhombus, and a Rhombus is a parallelogram c:

OpenStudy (anonymous):

what in the drawing makes it a rhombus

OpenStudy (anonymous):

how do u know it has 2 paris of parallel lines

OpenStudy (anonymous):

the Equilateral sides. and if yah turn your head, its a rhombus,

OpenStudy (anonymous):

the sides aren't makred congruent

OpenStudy (anonymous):

Because, a rhombus had 2 pairs of parallel lines, xD it

OpenStudy (anonymous):

these are just obvious characteristics xD

OpenStudy (anonymous):

Alright, I'll explain why. First, you notice that all three of it's angles are equal(technically it only notates two of them, but because all triangles have the same total angle measure the third measure has to be the same.) This means the triangles are, at very minimum, similar. Since they have one side in common, and the side that matches is corresponding, then the two triangles are congruent.

OpenStudy (anonymous):

The problem with Marr Bear's answer is that the images aren't always to scale; just because the figure looks like it's a rhombus does not necessarily mean it actually is.(I learned this the hard way in Geometry. NOTHING is ever truly to scale.)

OpenStudy (anonymous):

Right, I knew u couldn't just look at the drawings and make a decision. So if 2 triangles are congruent then the figure is a parallelogram-right?

OpenStudy (anonymous):

Yeah. Because of the rule of CPCTC, the opposite sides are congruent. And if both pairs of opposite sides are congruent(it actually probably isn't a rhombus, just trapezoid), then the lines are parallel.

OpenStudy (anonymous):

ok thanks

OpenStudy (anonymous):

You can also look at it with the alternate interior angles converse: because the opposite interior angles are congruent, then the two pairs of sides must be parallel.

OpenStudy (anonymous):

yes, I was looking at the alternte angles that were marked

OpenStudy (anonymous):

Eh. In any event, there's your answer.

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