Exploring Reflections 1
- Mr. Watson
You made it to reflections? Not bad. Have you ever looked in a mirror and noticed a blemish on one side of your face, but that tricky mirror flips that blemish to the other side of your face? Try cutting your hair using a mirror sometime, that's really confusing. This is what happened when Blossom tried to do it: Better learn your reflections well, or you could look like Blossom on a truly bad hair day. Now take a look at the diagram below. You have a few more tools this time, but don't play around with those until the instructions tell you to. The dotted line is of the form y=mx+b (slope intercept form), and the slope and y-intercept may be changed by using the sliders in the top right. Try playing around with the slope and y-intercept and notice what happens to the image (pink). If the image moves off your screen, use the move tool or the zoom tools to get a better view. You may need to long click on the move tool to find the zoom tools.
Hit the reset button in the top right corner (it looks like this ). Move the y-intercept so that the reflection image (that's the pink one that changes when you move the sliders) is "back to back" with the pre-image (the brown one). More specifically, place B' and B at the same point, and C' and C at the same point, but A' and A will be at different points.What is the formula for this line? If you don't remember how to find the equation for a line given a graph, use this link to discover the secrets of line equation magic! (I would suggest the mathisfun website for this one)
Move on the Exploring Reflections 2.