Question

The question: Use flowcharts to determine if each of the triangle pairs is similar. Do not forget your reasons! Note: figures not necessarily drawn to scale.

Answer 1

First, we need to note the given properties:

Side TS is equal to side RS:

`TS=RS`

Also, side WS is equal to side XS:

`WS=XS`

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:

`\begin{gathered} (WS)/(TS)=(XS)/(RS)=(4)/(2) \\ (WS)/(TS)=(XS)/(RS)=2 \end{gathered}`

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: