1. A parallelogram has the vertices (0, 3), (3, 0), (0, -3) and (-3, 0). Determine what type of parallelogram.Find the perimeter and area and then graph.

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Step 1:

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The vertices of a parallelogram are $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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The sides of the parallelogram are $\"\"$ and $\"\"$ .

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Find the sides of the parallelogram.

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Distance $\"\"$ .

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$\"\"$

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Distance $\"\"$ .

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Distance $\"\"$ .

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$\"\"$

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Distance $\"\"$ .

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Distance $\"\"$ .

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$\"\"$

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Distance $\"\"$ .

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Distance $\"\"$ .

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$\"\"$

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Distance $\"\"$ .

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Step 2:

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The diagonals of the parallelogram are $\"\"$ and $\"\"$ .

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Find the diagonals of the parallelogram.

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The length of the diagonal $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The length of the diagonal $\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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Step 3:

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The four sides of the parallelogram are equal and the lengths of the diagonals are equal.

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Therefore, the parallelogram is a square.

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The side of the square is $\"\"$ .

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Perimeter of the square is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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Area of the square is $\"\"$ .

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$\"\"$

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$\"\"$ .

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Step 4:

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Draw the coordinate plane.

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Plot the vertices $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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Draw the line segments $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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Solution:

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The parallelogram are $\"\"$ is a square.

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The perimeter is $\"\"$ .

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The area is $\"\"$ .

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Graph:

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$\"\"$ .