HELPPPPP 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.

For samples of 12 men, the possible sample mean brain weights have a normal distribution with a mean of 1.50 kg and a standard deviation of 0.0404 kg.

Problem: Determine the percentage of all samples of 12 men that have mean brain weights within 0.1 kg of the population mean brain weight of 1.50 kg. Interpret your answer in terms of sampling error.