Answer:
- Diagonals of a parallelogram bisect each other
Given vertices:
- (-2,-1), (1,3), (6,3), (3,-1)
Plot the points.
We see the diagonals are:
- (-2,-1) (6,3) and (1,3), (3,-1)
The midpoint of any diagonal is the intersection of the diagonals.
Use midpoint formula to find the coordinates:
- x = (x₁ + x₂)/2 = (-2 + 6)/2 = 4/2 = 2
- y = (y₁ + y₂)/2 = (-1 + 3)/2 = 2/2 = 1
The point is (2, 1)
