1) Interact with this applet for a few minutes.  Be sure to change the locations of the triangle’s vertices each time before re-sliding the slider.  [br][br][br]2) The orange segment that first appeared is said to be a [b]midsegment of a triangle[/b]. Without looking up the definition on another site in your internet browser, complete the following sentence definition [b]based solely upon your observations:[/b]  [br][br]Definition: A midsegment of a triangle is…[br][br][br][br][br]3) What 2 conclusions can you informally conclude about the midsegment of any [br]triangle?  [br][br]The midsegment of any triangle is[br][br]a) _________________ to the side of the triangle it doesn’t touch[br][br][br]b) _________________ the length of the side of the triangle it doesn’t touch.  [br][br][br][br]4) How many midsegments does any triangle have?  Why is this?  [br][br][br][br]5) If the length of a midsegment of a triangle is 40 cm, what is the length of the side of the triangle it doesn't touch? [br][br][br][br]6) If the length of one side of a triangle is 100 feet, what is the length of the midsegment that does not touch that side?[br][br][br][br][b]BONUS:[/b][br]7) Use a coordinate geometry setup (as is shown below) to prove the two claims (you [br]made in step 3) true.  Here’s a setup to help you get started:  [br][br][img width=584,height=419]https://lh4.googleusercontent.com/SOJEbj89N8LBkbpekXQYKQdYXZAJVIyy_p1SaeulpndtPTIbTFS2bVtPLTuIroAXSMZdj5CC9D-8xUt2x0dfZJuxdKVbxh5wbIB0OABYEKSgfQuUc-NekZI-Y8a6lbNwoyy6vzmZ[/img]