Question

Quadrilateral ABCD is a parallelogram, and points M and N are midpoints of sides AB and CD, respectively. Point E is the intersection of____?

Answer 1

Point E is the intersection of the diagonals AC and BD inside the parallelogram ABCD, where M and N are midpoints of AB and CD.

Step-by-step explanation:

The intersection of two diagonals in a parallelogram divides each one into two segments of equal length. Therefore, in a parallelogram ABCD, where points M and N are the midpoints of sides AB and CD respectively, EM and EN represent the segments of diagonals AC and BD being bisected at their midpoints by point E. Hence, point E is the intersection of the diagonals AC and BD inside the parallelogram.