Question

question 1 of 27
what is the length of \\( \overline{be} \\), given that \\( bd = 18 \\) and figure \\( abcd \\) is a parallelogram?
image of parallelogram with vertices c, b, a, d and diagonals intersecting at e
\\( \bigcirc \\) a. 9
\\( \bigcirc \\) b. 8
\\( \bigcirc \\) c. 18
\\( \bigcirc \\) d. 16

Explanation:

Step1: Recall parallelogram diagonal property

In a parallelogram, the diagonals bisect each other. So, \( E \) is the midpoint of \( BD \), meaning \( BE=\frac{1}{2}BD \).

Step2: Substitute \( BD = 18 \)

\( BE=\frac{1}{2}\times18 = 9 \).

Answer:

A. 9