Answer:
A) The coordinates of the fourth vertex are:
1) x-coordinate:
2) y-coordinate:
B) The point of intersection of the diagonals is:
Step-by-step explanation:
We need to remember that the diagonals of a parallelogram intersect each other at a half-way point and the midpoint of each diagonal is the same.
The midpoint formula is:
Since:
We can find the coordinates of the fourth vertex through these procedure:
1) x-coordinate:
2) y-coordinate:
Therefore, fourth vertex is
Since the point of intersection of the diagonals is the midpoint of a diagonal (Remember that ), this is:
Therefore, the point of intersection of the diagonals is
