Answer:
[tex]G' = (4,6)[/tex]
Step-by-step explanation:
Given
[tex]D = (2, 5)[/tex]
[tex]E = (3, 1)[/tex]
[tex]F = (4, 6)[/tex]
[tex]G = (6, 6)[/tex]
Translation: 2 units left
Required
Determine the coordinates of G'
When a point (x,y) is translated by b units to the left, the new coordinates is (x-b,y)
So, if
[tex]G = (6, 6)[/tex]
G' would be:
[tex]G' = (6-b,6)[/tex]
In this case:
[tex]b = 2[/tex]
So, we have:
[tex]G' = (6-2,6)[/tex]
[tex]G' = (4,6)[/tex]