Consider quadrilateral ABCD, where AB = 5, BC = 12, CD = 5, AC = 13, and

Question

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).

Answer 1

Option #2: Quadrilateral ABCD is a parallelogram.

Since opposite sides are equal in length (AB = CD and BC = AD) and AC and BD intersect at point O, it meets the definition of a parallelogram.