Question

If a triangle with vertices (4, 3) , (8, 3) , and (7, 5) is translated to the right 4 units and down 2 units, what are the vertices of the translated figure? (1 point)

Answer 1

The translation of a figure moves every point of the figure a certain distance in a certain direction. To translate a figure, add the same ordered pair to the coordinates of each vertex. For example, the coordinates of the figure after a translation of (a, b) would be 4 units to the right and 2 units down. The vertices of the original triangle are (4, 3), (8, 3), and (7, 5). Adding (4, -2) to these coordinates gives us the coordinates of the translated triangle:

(4, 3) + (4, -2) = (8, 1)
(8, 3) + (4, -2) = (12, 1)
(7, 5) + (4, -2) = (11, 3)

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