Chapter 6.5, Problem 2WE

To determine

To name: the theorem that supports the deduction.

Answer to Problem 2WE

By side-angle-side inequality $\overline{TR}<\overline{VS}$ .

Explanation of Solution

Given information:

Given figure,

  

Given:

  $▭RSTV$ ;

  $m\angle TSR>m\angle VRS$

Calculation:

Consider the following data:

  $▭RSTV$ ; $m\angle TSR>m\angle VRS$

Also, $\overline{RS}\cong \overline{RS}$ and $\overline{VR}\cong \overline{TS}$

Therefore, By side-angle-side inequality,

Therefore, it is concluded that,

  $\overline{TR}<\overline{VS}$