Question

Let A = (x,y) be any point in the plane
1) If l is the line y =k, then \(R_{y=k} (x,y) = (x, -y+2k)\)
2) if the line x =h, then \(R_{x=h} (x,y ) = (-x+2h, y)\)
Hint: Use \(T_{(0,k)}o R_{y=0}oT_{(0,-k)}\)
Please, help

Answer 1

Hi, my friend. help me, girl

Answer 2

I tried but not get what I want.

Answer 3

Now, \(T_{(0,-k)}\) (A) = A'( -x,-y+k)

Answer 4

Next is Reflection about y =0,
\(R_{y=0} A' = A" (-x, y +k)

Answer 5

Last is \(T_{(0,k)} A" = A"' ( x, -y)\)