9.1 Reflections Homework Answer Key UPD

9.1 Reflections Homework Answer Key ===== https://urluso.com/2tajqH

In the debrief, ask students what they noticed in terms of the patterns after using the reflection process. What about the point (a,b)? Is it still on the same y=x line? Is it on the same x-axis line? Answering this question, which requires a bit of verbal reasoning, is the first step to digging into the XOR diagram. Students can begin by writing a function to reflect over a line in the script you create. In the script, function reflect(f, x, y) is not working quite right. The general idea is that the f(x, y) that results from reflecting f(x,y) over the x-axis is f(-x,-y), which is the same as f(x,y) reflected over the y-axis. If we're dealing with a reflection over the x-axis, then we can substitute -x for x to get an equation f(-x, -y)=f(x,y). You can try substituting the equation into the original function to get the revised function reflect(-f, x, y). Using this function, we can test it by reflecting a=3 over the x-axis.

Add a couple of points and draw the line of reflection y=x. Using the script, you can create a couple of points that are reflected over the line of reflection. In order to test the script, you'll need to make an XOR diagram (as explained in the first lesson). I've attached the XOR diagram as a graphic organizer for you. You'll probably want to reproduce this in a word document or Powerpoint slide so you can have students take notes and add labels for the x-, y-, and reflected-axis lines.

Notice that the points a and d are flipped and a and c are switched. In order to help them to understand the XOR diagram, try using a green and a yellow mark to represent flipped and switched, respectively. Again, the point of this activity is to have students think about the concept of flipping so they can then reflect over the line of reflection.

Figure out together how to make a reflection over a line. This is a pretty complicated process. We recommend taking a break during this activity so students can think through the process independently.

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