Consider quadrilateral ABCD, where AB=5, BC=12, CD=5, AC=13, and BD=13. Construct the quadrilateral, and select the option that is consistent with your quadrilateral.

Option #1: Quadrilateral ABCD is a rectangle.

Option #2: Quadrilateral ABCD is a parallelogram.

Option #3: Quadrilateral ABCD is a trapezoid.

Option #4: Quadrilateral ABCD is a quadrilateral (neither rectangle, parallelogram, nor trapezoid).

wrong!

ABC is a 5-12-13 right triangle, so the figure is a rectangle.

You are correct. I apologize for the mistake in my response.

Option #1: Quadrilateral ABCD is a rectangle.

Option #2: Quadrilateral ABCD is a parallelogram.

Since opposite sides are equal in length and AC and BD are not perpendicular, the quadrilateral must be a parallelogram.