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

What are the new vertices of triangle FGH if the triangle is translated three units-example-1

1 Answer

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Answer:

  • 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)

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