Trig ID: Geometric Investigation
STUDENTS:
Interact with this applet for a few minutes.
As you do, be sure to change the location of the LARGE PINK POINT a few times.
After doing so, please answer the questions that follow.
Note: In this animation, lines that appear to be parallel ARE parallel.
1.
Express the area of the original rectangle (at the beginning of the animation) in terms of .
2.
What is the area of the rectangle you see at the end of the animation? Express this area in terms of .
3.
What can we conclude about the areas of the rectangle shown at the beginning and end of this animation? How/why do we know this to be true?
4.
Given your results for (1), (2), and (3) above, write a relationship between the expressions (written in terms of ) you wrote in (1) and (2).