[color=#000000]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 ([i]k[/i]) and the side lengths of the original triangle with the sliders above.  [br][br]Interact with the applet below for a few minutes, then answer the questions that follow. [/color]

[b][color=#980000]Questions:[/color][/b][br][br][color=#000000]1) What can you conclude about these two triangles?  Why can you conclude this?  [/color][br][br][color=#000000]2) Complete the following theorem by filling in the blanks:  [/color][br][br][color=#000000]   [/color][color=#0000ff][b]If 3 _________________ of one ____________________ are in ___________________ to 3 [br]   [br]    ______________________ of another __________________, then those [br][br]    _______________[i] [/i]are _________________.  [/b][/color]