Question

Determine whether the quadrilateral is a parallelogram using the indicated method Midpoint Formula: D(-6,-1), E(-2,1), F(-2,-6), G(-6,-4)

Answer 1

Answer: Since the midpoints of both diagonals are the same (-6, -2.5), we can conclude that the diagonals bisect each other and the quadrilateral DEFG is a parallelogram.

Step-by-step explanation: Using the midpoint formula, we can find the midpoints of the diagonals DG and EF:Midpoint of DG:

x-coordinate: (-6 + -6)/2 = -6

y-coordinate: (-1 + -4)/2 = -2.5

Midpoint of DG = (-6, -2.5)

Midpoint of EF:

x-coordinate: (-2 + -2)/2 = -2

y-coordinate: (1 + -6)/2 = -2.5

Midpoint of EF = (-2, -2.5)