HEL WILL MARK BRAINLEST Use the following information and diagram to answer the question. Given: Quadrilateral ABDC has vertices at A(2,6), B(6,8), C(1,2), and D(5,4).

Prove: Quadrilateral ABDC is a parallelogram.

Which plan for a proof for this problem will show that quadrilateral ABDC is a parallelogram?

1.Use the midpoint formula to find the midpoint of AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯. Show that the midpoint of these two sides has the same x-coordinate. Then, show that the midpoint of BD¯¯¯¯¯¯¯¯ and AC¯¯¯¯¯¯¯¯ has the same y-coordinate. Thus, the quadrilateral is a parallelogram.

2.Use the midpoint formula to find the midpoint of AD¯¯¯¯¯¯¯¯ and BC¯¯¯¯¯¯¯¯. Show that the midpoint for both segments is the same. Since the diagonals of a quadrilateral intersect each other, then the quadrilateral is a parallelogram.
Use the midpoint formula to find the midpoint of line segment cap A cap d and Show that the midpoint for both segments is the same. Since the diagonals of a quadrilateral intersect each other, then the quadrilateral is a parallelogram.

3.Use the midpoint formula to find the midpoint of line segment cap A cap d and Show that the midpoint for both segments is the same. By the definition of midpoint and bisect, line segment cap A cap d and line segment cap b cap c bisect each other. Since the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

4.Use the midpoint formula to find the midpoint of AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯. Show that the midpoint for both segments is the same. Since opposite sides of a quadrilateral have the same midpoint, then the quadrilateral is a parallelogram.