Chapter 2.5, Problem 5MRE

To determine

To conclude: From the given figure

Answer to Problem 5MRE

  $\overline{CE}=\overline{EB}$

Explanation of Solution

Given information:

  

  $BE=EF;E$ is the midpoint of $\overline{FC}$

  $BE=EF;E$ is the midpoint of $\overline{FC}$

The point is said to be the midpoint of the side if it divides the side into two equal sides

Since,

  $E$ is midpoint on $\overrightarrow{FC}$

That is,

  $\overline{CE}=\overline{EF}\dots \dots (1)$

And it is known that,

  $\overline{BE}=\overline{EF}\dots \dots (2)$

Therefore, from equation (1) and (2)

  $\overline{CE}=\overline{EB}$