$\"\"$

The given vertices of the quadrilateral are $\"\"$ .

If the opposite sides of a quadrilateral are parallel, then it is a parallelogram.

Find the slopes of opposite sides.

The slope formula is $\"\"$ .

Slope of $\"\"$ (Substitute $\"\"$ )

Slope of $\"\"$ (Substitute $\"\"$ ) $\"\"$

Slope of $\"\"$ (Substitute $\"\"$ )

$\"Graph$

Since the opposite sides have same slope, $\"\"$ .

By the definition, BCDE is a parallelogram. $\"\"$

The figure with the given vertices is a parallelogram.