Chapter 6.5, Problem 12WE

To determine

To prove: $ST>SV$ in two column form.

Explanation of Solution

Given information:

Given figure,

Plane $P$ bisects $\overline{XZ}$ at $Y$ ;

  $WZ>WX$

Calculation:

Consider the following diagram:

The two columns proof is as follows:

Statements	Reasons
$XY\cong YZ$	Since plane $P$ bisects $XZ$at $Y$
$m\angle XYW<m\angle ZXW$	Since $WY\cong WY$and $WZ>YZ$, Applying Side-Side-Side Inequality.