Question 585406
It helps to draw a picture, so let's do so


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/geometry_3-11-2012.png">


<TABLE CELLSPACING=20>
<TR>
  <TD>Statement</TD>
  <TD> Reason</TD>
</TR>
<TR>
  <TD>1. WA perpendicular to ZY</TD>
  <TD> Given</TD>
</TR>
<TR>
  <TD>2. XB perpendicular ZY</TD>
  <TD> Given</TD>
</TR>
<TR>
  <TD>3. ZA = YB</TD>
  <TD> Given</TD>
</TR>
<TR>
  <TD>4. < ZAW = < YBX</TD>
  <TD> All perpendicular angles equal 90 degrees</TD>
</TR>
<TR>
  <TD>5. WA = XB</TD>
  <TD> Opposite sides of a rectangle are equal</TD>
</TR>
<TR>
  <TD>6. triangle ZAW = triangle YBX</TD>
  <TD> SAS property</TD>
</TR>
<TR>
  <TD>7. ZW = YX</TD>
  <TD> CPCTC</TD>
</TR>
<TR>
  <TD>8. trapezoid WXYZ is isosceles</TD>
  <TD> nonparallel sides are congruent</TD>
</TR>
</TABLE>