### Home > GC > Chapter 8 > Lesson 8.1.5 > Problem 8-51

8-51.

Find the coordinates of the point at which the diagonals of parallelogram intersect if

*and*

*. Explain how you found your answer.*

The diagonals of a parallelogram bisect each other.

That means they have the same midpoint.

See the Math Notes box in Lesson 7.3.3 for help finding the midpoint of the line segment which connects and

*.*

The midpoint is

Use the eTool below to explore the diagonals of a parallelogram.

Click the link at right for the full version of the eTool: *8-51 HW eTool* (Desmos)