[tex]VWX\cong KLJ[/tex] means that the triangles are congruent, that is exactly identical.
The order of letters is very important. Form the given congruence we can write the following ratio:
[tex] \frac{VW}{KL} = \frac{WX}{LJ} = \frac{VX}{KJ} =1[/tex]
(notice that we do not mix the order: the first 2 letters of VWX are compared to the first 2 letters of KLJ and so on)
the ratio is one because the corresponding sides are equal.
[tex]\frac{VW}{KL}=1\\\\ \frac{2z-1}{z+2}=1\\\\2z-1=z+2\\\\2z-z=2+1\\\\z=3 [/tex]
[tex]|VW|=2z-1=2.3-1=6-1=5[/tex]
Answer: 5 units
