2- Reflection across y=2 J (1,3), U (0,5), R (1,5), C (3,2)

Question

i am so confused what will happen when I reflect those coordinates across y=2

 

Answer 1

Dear Maiya,

     1.  First of all, graph the given points on your graph.  Use graph paper.

 

     2.  Then graph Y=2, which is a parallel line to the X-axis.

 

     3.  Find out the units up that the point (1, 3) is from the line, y=2.    It is one unit up from the line, so go over one unit on the x-axis and drop down one unit.  The reflexive point is j'(1,1).

 

     4.  Next, see what distance (1,5) is from the line y=2.  It is 3 units up from that line.  The reflexive point is three units down at R'(1,-1).

 

     5.  Also, find the distance from y=2 to (0,5).  This point is 3 units up from the y=2 line.  Then just start at zero on the line y=2 and drop down 3 units to U'(0,-1).

 

    6.  Look at the point (3,2).  Is this point on the line y=2?  Yes, there is no distance from the line y=2, so the reflexive point is (3,2), too.

 

Both graphs should be the same shape, but they are moving in opposite directions from the line y=2.  You should graph the regular points and the reflection points.  It looks good if you can graph the regular points in one color and the reflection ones in a different color.

    If I have helped you, please give me a thumbs up.

                                          Susan C.