Question

Triangle FGH has vertices F(3.-1), G(5,-1), and H(5,2). What are thecoordinates of the image of point H after a translation 1 unit to the right and 3units down?

Answer 1

Note that if a point (x, y) is translated by "a" units to the right,

The resulting point will be (x + a, y)

If "a" units to the left,

The resulting point will be (x - a, y)

If "a" units up,

The resulting point will be (x, y + a)

and if "a" units down,

The resulting point will be (x, y - a)

From the problem, we are looking for the resulting point H

point H is (5, 2)

Since it is translated 1 unit to the right and 3 units down,

The resulting point will be

$\begin{gathered} (5+1,2-3) \\ (6,-1) \end{gathered}$

Therefore, the answer is (6, -1)