[color=#000000]Interact with the applet below for a few minutes. [br]Then, answer the questions that follow. [br] [br][b]Be sure to change the locations of the white points each time before re-sliding the slider! [/b][/color]

1. [color=#000000]How do you know the [/color][color=#ff00ff][b]quadrilateral [/b][/color][color=#000000]initially constructed is a [/color][color=#ff00ff][b]trapezoid[/b][/color][color=#000000]? [br](What helps justify this?)[/color][br][br][br]2. The [b]thickest segment with three tick marks[/b] is called a [b]midsegment of a trapezoid[/b]. Define the term "[b]midsegment of a trapezoid" [/b]without looking up its definition on another site.[br][br][br]3. What two facts/properties about the [b]midsegment of a trapezoid[/b] does this applet illustrate?[br][br][br]4. Suppose the bases of the trapezoid above measured 14 inches and 26 inches. What would the length of its midsegment be? [br][br][br]5. Suppose a trapezoid has a midsegment with length 35 inches and one base measuring 23 inches. What would the length of its other base be?[br][br][br]6. Now move any point so that one of the trapezoid's bases has a length of 0. Then re-slide the slider. What other theorem(s) previously learned does this applet now show? [br][br][br][b]BONUS:[/b][br]7. Use coordinate geometry to prove each of the 2 facts that you listed in your response to question (3) above. Here's a setup to help get you started (see below):[br][br][img]http://tarantamath.pbworks.com/f/1370233058/Screen%2Bshot%2B2013-06-03%2Bat%2B12.07.49%2BAM%281%29.png[/img][br][br][br][br]