Distance in the Coordinate Plane (II)
- Tim Brzezinski
In the coordinate plane below, you'll notice that the axes and gridlines are missing. You can move the BIG BLACK POINTS anywhere you'd like. Use this applet to help guide you through the questions on your activity sheet. After completing your activity sheet, please answer the questions that appear after the applet.
Questions: 1) How can you calculate the length of the green segment, or |RISE|, WITHOUT counting spaces (or gridlines)? 2) How can you calculate the length of the red segment, or |RUN|, WITHOUT counting spaces (or gridlines)? 3) Let's call "d" the distance between point A and point B. Write an equation that expresses the relationship among d, |RISE|, and |RUN|. 4) Use the relationship you wrote for (3) to calculate the distance between A(-3, 4) and B(2, -6) without using the applet above. After you arrive at your answer, use the applet to check your work.