If a triangle with verticals (4,3) , (8,3), and (7,5) is translated to the right 4 units and down 2 units, what are the verticals of the translated figure?

Question

A. (8,5), (12,5), and (11,7)
B. (0,1), (4,1), and (11,3)
C. (8,1), (12,3), and (11,5)
D. (8,3), (12,3), and (11,5)

Answer 1

To translate a figure to the right 4 units and down 2 units, we add 4 to the x-coordinates and subtract 2 from the y-coordinates of each vertex.

The original vertices are:
(4,3), (8,3), and (7,5)

After the translation, the new vertices are:
(4+4, 3-2) = (8,1)
(8+4, 3-2) = (12,1)
(7+4, 5-2) = (11,3)

Therefore, the verticals of the translated figure are (8,1), (12,1), and (11,3).

The correct answer is:
C. (8,1), (12,3), and (11,5)