To translate △ 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 △ P'N'B'.
Reflection
To complete the reflection, we have to reflect all the vertices of △ 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 △ P''N''B''.
Final Glide Reflection
The final glide reflection is the combination of the translation and the reflection.
