First, we need to note the given properties:
Side TS is equal to side RS:
[tex]TS=RS[/tex]
Also, side WS is equal to side XS:
[tex]WS=XS[/tex]
And our third given information is that angle ∠WSX is equal to ∠TSR, becuase they are vertical angles.
From this, we can also find the if the proportions are equal, in this case they are, because:
[tex]\begin{gathered} \frac{WS}{TS}=\frac{XS}{RS}=\frac{4}{2} \\ \frac{WS}{TS}=\frac{XS}{RS}=2 \end{gathered}[/tex]
Thus, we have two similar sides and 1 equal angle in the middle of them.
The triangle is SAS (Side angle side).
The flow chart is:
