# One side of a parallelogram has endpoints #(3,3), (1,7)#. What are the endpoints for the side opposite?

There are an infinite number of parallelograms with opposite side

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To find the endpoints of the side opposite in the parallelogram, you can use the property that opposite sides of a parallelogram are parallel and equal in length.

Given the endpoints of one side as (3, 3) and (1, 7), the vector representing this side is (\langle 1 - 3, 7 - 3 \rangle = \langle -2, 4 \rangle).

Since opposite sides of a parallelogram have the same vector, the other side's vector will also be (\langle -2, 4 \rangle).

To find the endpoints of the side opposite, you start with one of the given endpoints, say (3, 3), and add the components of the vector (\langle -2, 4 \rangle) to it.

So, adding (-2) to the x-coordinate and (4) to the y-coordinate of (3, 3), you get the other endpoint: ((3 - 2, 3 + 4) = (1, 7)).

Hence, the endpoints of the side opposite to the given side are (1, 7) and (3 - 2, 3 + 4), which is (1, 7).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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