Oh my gosh, I don't understand geometry! I see this everywhere, if I were to measure he sides of these quadrilaterals and prove them to be parallelograms. I could show my friends that these everyday shapes are in the world of geometry.
Oh, well sure! The diagonals are congruent because the square has all the properties of all other parallelograms. In order for it to be a square, it has to have congruent diagonals and vice versa. But in many cases, you will need much more than congruent diagonals to prove a parallelogram a square.
Hey Charlotte, do you think you can explain this to me? I still don't understand what he is saying, why are the diagonals of a square congruent?
Sorry to bother you again, but, do you know what the proof would be like if I have 1 pair of sides opposite and congruent and I am trying to prove that its a parallelogram.
Okay, so the proof would somewhat be like this: The statement would be the given and then you add the next step, this is a simple 2 step proof. Therefore the next step would be stating the statement that shape whatever its named is a parallelogram since it has one pair of both opposite AND parallel sides, it's a parallelogram.
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