Take a few minutes to interact with the GeoGebra applet below.
After doing so, please answer the questions that follow.

**Note:****The pink slider controls the size of the angle with pink vertex.**## 1.

What is the measure of the **purple angle**? How do we know this to be true?

## 2.

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?

## 3.

Suppose a rhombus has diagonal lengths labeled and . Write an expression for the area of this rhombus in terms of & .