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?

Answer 1

To translate a point in the coordinate plane, we add the same amount to the x-coordinate and the y-coordinate. In this case, since we are translating the triangle to the right 4 units and down 2 units, we add 4 to the x-coordinates and subtract 2 from the y-coordinates of the original triangle's vertices.

So the translated vertices would be:
(4 + 4, 3 - 2) = (8, 1)
(8 + 4, 3 - 2) = (12, 1)
(7 + 4, 5 - 2) = (11, 3)

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