Question

Please help with this

Answer 1

$VWX\cong KLJ$ 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:

$\frac{VW}{KL} = \frac{WX}{LJ} = \frac{VX}{KJ} =1$

(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.

$\frac{VW}{KL}=1\\\\ \frac{2z-1}{z+2}=1\\\\2z-1=z+2\\\\2z-z=2+1\\\\z=3$

$|VW|=2z-1=2.3-1=6-1=5$


Answer: 5 units