consider quadrilateral ABCD, where AB = 5, Bc = 12, CD = 5, AC = 13 and BD = 13
is the quadrilateral a rectangle, parallelogram, trapezoid, or other quadrilateral?
The quadrilateral is a parallelogram.
This can be determined by noting that opposite sides are equal in length (AB = CD, BC = DA) and opposite angles are equal (angle A = angle C, angle B = angle D). Therefore, the given information implies that the quadrilateral ABCD is a parallelogram.