Take a few minutes to interact with the GeoGebra applet below. [br]After doing so, please answer the questions that follow. [br][b][br]Note:[/b][br][b][color=#ff00ff]The pink slider controls the size of the angle with pink vertex. [/color][/b]
What is the measure of the [b][color=#9900ff]purple angle[/color][/b]? How do we know this to be true?
Suppose, in the applet above, the segment with single-tick label has a length of 3 cm. Suppose the segment with the double-tick label has a length of 8 cm. What would the area of this entire rhombus be?
Suppose a rhombus has diagonal lengths labeled [math]d_1[/math] and [math]d_2[/math]. Write an expression for the area of this rhombus in terms of [math]d_1[/math] & [math]d_2[/math].