$\"\"$

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The line equations are $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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Solve the equations.

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Case (i):

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$\"\"$ (Fourth equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Apply additve inverse property: $\"\"$ )

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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The coordinates are $\"\"$ .

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Case (ii):

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$\"\"$ (Fourth equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Add $\"\"$ to each side)

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$\"\"$ (Apply additve inverse property: $\"\"$ )

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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The coordinates are $\"\"$ .

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$\"\"$

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Case (iii):

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$\"\"$ (Fourth equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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The coordinates are $\"\"$ .

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Case (ii):

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$\"\"$ (Fourth equation)

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$\"\"$ (Substitute $\"\"$ )

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$\"\"$ (Divide each side by $\"\"$ )

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$\"\"$ (Cancel common terms)

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The coordinates are $\"\"$ .

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The vertices of the paralleogram are $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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The vertices of the paralleogram are $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .