Mathematics, 26.05.2021 06:10, meowmeowcow
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 âłKMN, the length of the base is ___ and the height is ___. So an expression for the area of âłKMN is ___.
In âłKLM, the length of the base is 3x and the height is 2y. So an expression for the area of âłKLM 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.
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