+284 17. Lucinda is writing a coordinate proof to show that a diagonal of a parallelogram partitions the parallelogram into two equal areas.
Enter your answers in the boxes to complete Lucinda's proof.
Since KLMN is a parallelogram and a parallelogram's opposite sides are parallel and congruent, the coordinates for M are (4x, ________).
In △KMN, the length of the base is ____ and the height is____ . So an expression for the area of △KMN is ____ .
In △KLM, the length of the base is 3x and the height is 2y. So an expression for the area of △KLM is ____ .
Comparing the area of the two triangles that are formed by a diagonal of the parallelogram shows that a diagonal of
a parallelogram partitions the parallelogram into two equal areas.
