Final answer:
The coordinates of the point of intersection of the diagonals in parallelogram ABCD are (1, 2).
Step-by-step explanation:
To find the coordinates of the point of intersection of the diagonals in parallelogram ABCD, we need to find the midpoint of the line segment connecting points A and C. The x-coordinate of the midpoint is found by averaging the x-coordinates of points A and C, and the y-coordinate of the midpoint is found by averaging the y-coordinates of points A and C.
Given that point A has coordinates (3, -1) and point C has coordinates (-1, 5), the midpoint has coordinates:
x = (3 + (-1))/2 = 2/2 = 1
y = (-1 + 5)/2 = 4/2 = 2
So, the coordinates of the point of intersection of the diagonals are (1, 2).