Chapter 6, Problem 13CT

To determine

To complete: the blanks in the given statement.

Answer to Problem 13CT

  $\overline{UE}>\overline{UO}$

Explanation of Solution

Given information:

The given statement is “If $\overline{VE}\cong \overline{VO}$ and $m\angle UVE>m\angle UVO,$ then $\underset{\_}{}>\underset{\_}{}.$ ”.

The given figure is as follows:

  

The side opposite to the largest angle is greater than the side opposite to the smaller

angle.

Consider the given figure,

The side opposite to the angle $m\angle UVE$ is $UE$ .

The side opposite to the angle $m\angle UVO$ is $UO$ .

So,

  $\begin{array}{l}m\angle UVE>m\angle UVO\\ \Rightarrow \overline{UE}>\overline{UO}\end{array}$

Hence, $\overline{UE}>\overline{UO}$