Question

What are the new vertices of quadrilateral DEFG, if the quadrilateral is translated downward one unit?

A. D' = (-5,-1), E' = (-3,3), F' = (5,-1), G' = (3,-5)
B. D' = (-5,2), E' = (-3,6), F' =(5,2), G' = (3,-2)
C. D' = (-5,0), E' = (-3,4), F' = (5,0), G' = (3,-4)
D. D' = (-6,0), E' =(-4,4), F' =(4,0), G' = (2,-4)

Answer 1

The new vertices of quadrilateral DEFG, if translated downward one unit, are D' = (-5,-1), E' = (-3,3), F' = (5,-1), G' = (3,-5)

Step-by-step explanation:

When a quadrilateral is translated downward one unit, every vertex is moved one unit in the negative y-direction.

So the new vertices of quadrilateral DEFG would be:

D' = (Dx, Dy-1) = (-5,-1)

E' = (Ex, Ey-1) = (-3,3)

F' = (Fx, Fy-1) = (5,-1)

G' = (Gx, Gy-1) = (3,-5)

Option A is the correct answer:

D' = (-5,-1), E' = (-3,3), F' = (5,-1), G' = (3,-5)