Consider quadrilateral ABCD

Question

, 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).
Correct answers:
1

Answer 1

Option #2: Quadrilateral ABCD is a parallelogram.

This is consistent with the given information, as a parallelogram has opposite sides that are equal in length and opposite angles that are equal in measure. In this case, AB = CD = 5 and BC = AD = 12, which satisfies the properties of a parallelogram.