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

[color=#000000][b]Questions:[/b][br][br]1) 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 postulate or theorem helps justify this?) [br][br]2) The [b]thick black segment (with three tick marks)[/b] is called a [b]median of a trapezoid[/b].[br] Define the term [b]median of a trapezoid [/b]without looking up its definition on another site. [br][br]3) What two facts/properties about the [b]median of a trapezoid[/b] does this applet illustrate?[br][br]4) Suppose the bases of the trapezoid above measured 14 inches and 26 inches.[br] What would the length of its median be? [br][br]5) Suppose a trapezoid has a median with length 35 inches and one base measuring 23 inches.[br] What would the length of its other base be?[br][br]6) Now move any point so that one of the trapezoid's bases has length = 0. [br] Then re-slide the slider. What other theorem(s) previously learned does this applet now show? [br][br]7) Prove each of these 2 facts (you listed in your response to question (3) above) true using the[br] format of a 2-column, paragraph, or coordinate geometry proof. [/color]

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