Question

Put *3-5 on graph paper and upload a picture. Use the figure shown.*3 Suppose theequation of lines isy=2. What are thecoordinates of C ofAA'B'C for Rs?#4 Suppose theequation of line tisy=x. Graph AA'B'C' for Rt.5 After areflection, theimage vertices areA'(5,1), B'(3.-1), and C (7-1). What is the line of reflection?

Answer 1

For the point #3, you know that the coordinates of point C are (-3,-1). So, if you make the reflection of this figure through the line Y = 2 you get

For the point #4, you know that the rule for reflection in the line y = x is

$\begin{gathered} (x,y)\rightarrow(y,x) \\ \text{ So, the coordinates of points A,B,C reflected by the line y=x are} \\ A\colon(-1,1)\rightarrow(1,-1) \\ B\colon(1,-1)\rightarrow(-1,1) \\ C\colon(-3,-1)\rightarrow(-1,-3) \end{gathered}$

Then, graphing you have

Finally, for the point #5, after graphing the given coordinates you can see that a reflection line is formed at x = 2. Graphing you have