Question

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

Answer 1

To translate a figure, we add or subtract the same value to each coordinate of every vertex.

In this case, to translate the triangle right 4 units, we add 4 to the x-coordinate of each vertex:

(4, 3) + (4, 0) = (8, 3)
(8, 3) + (4, 0) = (12, 3)
(7, 5) + (4, 0) = (11, 5)

Next, to translate the triangle down 2 units, we subtract 2 from the y-coordinate of each vertex:

(8, 3) - (0, 2) = (8, 1)
(12, 3) - (0, 2) = (12, 1)
(11, 5) - (0, 2) = (11, 3)

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