For context, a parallelogram is shown, with top left being A, top right with B, bottom right with C, bottom left with D, and E being in the middle of to diagonal lines in the middle of the parallelogram.

Question

In parallelogram ABCD, if the length of segment BE is 11 units, what is the length of segment DE?

Segment DE measures ____ units in length.

Answer 1

In a parallelogram, the diagonals bisect each other. This means that the point \( E \), which is the intersection of the diagonals \( AC \) and \( BD \), divides each diagonal into two equal halves.

When point \( E \) is the midpoint of diagonal \( BD \), then we can conclude that:

• \( BE = ED \)

Given that the length of segment \( BE \) is 11 units, it follows that:

\[ DE = BE = 11 \text{ units} \]

Thus, the length of segment \( DE \) is also 11 units.

Therefore, the answer is:

Segment DE measures 11 units in length.