Chapter 11.2, Problem 7PPS

To determine

To complete: The givencongruence statement.

Answer to Problem 7PPS

  $\Delta STZ\cong \Delta YTW$

Explanation of Solution

Given information: Two triangles $\Delta STZ,\Delta YTW$ such that $ST=TY,SZ=YW,TZ=TW$

  

In $\Delta STZ$ and $\Delta YTW$ ,

  $ST=YT$ (Given)

  $TZ=TW$ (Given)

  $SZ=YW$ (Given)

So,

  $\Delta STZ\cong \Delta YTW$ (by SSS congruence criterion)