To translate â–ł PNB one unit left and one unit up, we have to subtract 1 from each x-coordinate and add 1 to each y-coordinate.
(x,y) → (x -1,y +1)
Let's do this for the three vertices.
(x,y)
(x -1,y +1)
(x',y')
P(2, 2)
( 2 -1, 2 +1)
P'( 1, 3)
N(3,-1)
( 3 -1,-1 +1)
N'( 2, 0)
B(- 1,- 2)
(-1 -1,- 2 +1)
B'(-2,-1)
With these points, we are able to draw the transformed image as â–ł P'N'B'.
Reflection
To complete the reflection, we have to reflect all the vertices of â–ł P'N'B' on the opposite side of the line x=y. The distance from the vertices to the line x=y remains the same. We will call the reflected image â–ł P''N''B''.
Final Glide Reflection
The final glide reflection is the combination of the translation and the reflection.
