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Triangle CDE is translated 2 units right and 3 units down. What are the coordinates of the resulting triangle?

1 answer

To find the coordinates of triangle CDE after it has been translated 2 units to the right and 3 units down, you need the original coordinates of points C, D, and E.

Assuming the original coordinates are:

  • \(C(x_1, y_1)\)
  • \(D(x_2, y_2)\)
  • \(E(x_3, y_3)\)

To translate each point, you will perform the following operations:

  • For the x-coordinate: \(x' = x + 2\) (2 units to the right)
  • For the y-coordinate: \(y' = y - 3\) (3 units down)

So, the new coordinates will be:

  • Point C: \((x_1 + 2, y_1 - 3)\)
  • Point D: \((x_2 + 2, y_2 - 3)\)
  • Point E: \((x_3 + 2, y_3 - 3)\)

If you provide the original coordinates of points C, D, and E, I can calculate the resulting coordinates for you.