Question

What are the new vertices of triangle FGH if the triangle is translated three units to the right?

Answer 1

• F'(-2, -2)
• G'(0, 5)
• H'(4, -5)

Explanation:

Translating a point 3 units to the right adds 3 to its x-coordinate. The y-coordinate remains unchanged.

The translation can be written symbolically as ...

(x, y) ⇒ (x +3, y)

____

For the points F(-5, -2), G(-3, 5), and H(1, -5), the translated values are ...

F' = F +(3, 0) = (-5+3, -2) = (-2, -2)

G' = G +(3, 0) = (-3+3, 5) = (0, 5)

H' = H +(3, 0) = (1+3, -5) = (4, -5)