Choose the most correct statement given that Quadrilateral ABCD has vertices A(2, 1), B(2, 4), C(7, 4), and D(6, 1)?

1. Quadrilateral ABCD is a parallelogram because opposite sides are parallel.

2. Quadrilateral ABCD is a rectangle because opposite sides are parallel and consecutive sides form right angles.

3. Quadrilateral ABCD is a square because opposite sides are parallel, consecutive sides form right angles, and all 4 sides have equal length.

4. Quadrilateral ABCD is not a rectangle, square, or parallelogram because both pairs of opposite sides are not parallel, or congruent.

The correct option is 4, Quadrilateral ABCD is not a rectangle, square, or parallelogram because both pairs of opposite sides are not parallel, or congruent.

What is a parallelogram?

A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Given that Quadrilateral, ABCD has vertices A(2, 1), B(2, 4), C(7, 4), and D(6, 1). Now, if the vertices are plotted on the graph, then it can be observed that Quadrilateral ABCD is not a rectangle, square, or parallelogram because both pairs of opposite sides are not parallel, or congruent.

Hence, the correct option is 4.

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