DEFG has coordinates D(2, 5), E(3, 1), F(4, 6), and G(6, 6). If the polygon is translated 2 units to the left, what are the coordinates of G'?

Respuesta :

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]