Question

Given:$\mathbf{ABCD}$is a parallelogram;$\overline{\mathrm{AD}}\cong \overline{\mathrm{AC}}$;$\overline{\mathrm{AE}}\cong \overline{\mathrm{EC}}$;$\angle \mathbf{ADF}\cong \angle \mathbf{CDF}$;$\mathbf{m}\angle \mathbf{DAC}\mathbf{=}\mathbf{36}$.

Complete each statement about the diagram.

18.$\overline{\mathrm{AE}}\cong \overline{\mathrm{EC}}$, so$\overline{\mathrm{BE}}$ is a(n) of$△\mathbf{ABC}$ .

Short answer

$\overline{AE}\cong \overline{EC}$, so$\overline{BE}$ is amedian of$△ABC$ .

Step-by-step solution

- Observe the given diagram.

The given diagram is:

- Write the definition of median.

The median is the line segment drawn from the vertex to the midpoint of the opposite side.

- Write the complete statement.

$\overline{AE}\cong \overline{EC}$, so$\overline{BE}$ is amedian of $△ABC$.