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8-55.

Find the coordinates of the point at which the diagonals of parallelogram $ABCD$ intersect if $B(−3, −17)$ and $D(15, 59)$. Explain how you found your answer. 8-55 HW eTool (Desmos). Homework Help ✎

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 $B$ and $D$.

The midpoint is $(6, 21)$.

Use the eTool below to explore the diagonals of a parallelogram.
Click the link at right for the full version of the eTool: CCG 8-55 HW eTool