Question

Let P be the transformation representing a reflection over the line y=b and let Q be the transformation representing a reflection over the line y=a, where a < b. Describe a single transformation that would give the same results as P∘Q, if the preimage isn't on neither line y = a nor the line y = b.
P: (x,y) → (x,b-(y-b)) = (x,2b-y)
Q: (x,y) → (x,2a-y)
P∘Q: (x,y) → (x,2a-(2b-y)) = (x,2a-2b+y)
Since b > a, it should be (x, 2b-2a+y)

Related Questions

Match up the key terms with their definition. 1. rigid motion: _ 2. rotation: _ 3. reflection:... 1. rigid motion: _ 2. rotation: _ 3. reflection: _ 4. function: _ 5. transformation: _ 6. refle... 8 of 118 of 11 Items Question Use the image to answer the question. What type of transformation can... (3 points) Two transformations were performed on Triangle ABC. The first transformation was a refle...