Question

a quadrilateral has vertices at (-1,2), (2,4), (4,1), and (1,-1). which best describes the polygon formed by connecting the consecutive midpoints of each side of this quadrilateral? select from the drop - down menu to correctly complete the sentence. the polygon formed by the midpoints of the quadrilateral is a drop - down options: parallelogram, rectangle, rhombus, square

Explanation:

Step1: Recall mid - point theorem for quadrilaterals

The quadrilateral formed by joining the mid - points of the sides of any quadrilateral is a parallelogram. This is a well - known theorem in geometry. When we connect the mid - points of the sides of a quadrilateral, the opposite sides of the new - formed quadrilateral are parallel to the diagonals of the original quadrilateral.

Answer:

parallelogram