In the applet below, there are 2 triangles. The three sides of one triangle are proportional to the three sides of the other triangle. You can adjust the scale factor (k) and the side lengths of the original triangle with the sliders above.
Interact with the applet below for a few minutes, then answer the questions that follow.

Questions:
1) What can you conclude about these two triangles? Why can you conclude this?
2) Complete the following theorem by filling in the blanks:
If 3 _________________ of one ____________________ are in ___________________ to 3
______________________ of another __________________, then those
_______________are _________________.