Answer:
(1, 1)
Step-by-step explanation:
Given vertices of the <u>parallelogram</u>:
- H = (-1, 4)
- J = (3, 3)
- K = (3, -2)
- L = (-1, -1)
Therefore the <u>parallel sides</u> are:
Therefore, the <u>diagonals</u> of the parallelogram are:
To find the <u>coordinates of the intersection of the diagonals</u>, either:
- draw a diagram (see attached) and determine the point of intersection of the diagonals from the diagram, or
- determine the midpoint of either diagonal (as the diagonals of a parallelogram bisect each other, i.e. divide into 2 equal parts).
<u>Midpoint between two points</u>
To find the <u>midpoint of diagonal LJ</u>, define the endpoints:
Substitute the defined endpoints into the formula and solve:
Therefore, the coordinates off the intersection of the diagonals of parallelogram HJKL are (1, 1).
Learn more about midpoints here:
