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). (1 point) Option #
2: Quadrilateral ABCD is a parallelogram.
In a parallelogram, opposite sides are equal in length and parallel. In this case, AB=CD=5 and BC=AD=12, which satisfy the conditions for a parallelogram. Additionally, opposite angles are also equal in a parallelogram, further supporting the classification of ABCD as a parallelogram.