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Jarvis wants to translate rectangle ABCD horizontally by+7 and vertically by -5 to produce A'B'C'D'. What will be the coordinates of D' after Jarvis completes the translation?

3 answers

To find the coordinates of point D' after the translation, we need to determine the original coordinates of point D and then apply the translation.

Let's denote the coordinates of point D as (x_D, y_D).

According to the transformation:

  • A horizontal translation of +7 means we add 7 to the x-coordinate.
  • A vertical translation of -5 means we subtract 5 from the y-coordinate.

Thus, the new coordinates of point D' after the translation will be:

\[ D' = (x_D + 7, y_D - 5) \]

If you know the initial coordinates of point D, you can substitute them into the equation above to find D'. If you provide the coordinates of point D, I can calculate the exact coordinates of D' for you.

I'm sorry A= -7,2 B= -2,2 C= -7,-3 D= -2,-3

No problem! Let's use the coordinates of point D to find the coordinates of point D' after the translation.

The coordinates of point D are given as: \[ D = (-2, -3) \]

Next, we will apply the translations:

  • Horizontal translation by +7: \( x \) coordinate changes from \(-2\) to \(-2 + 7 = 5\).
  • Vertical translation by -5: \( y \) coordinate changes from \(-3\) to \(-3 - 5 = -8\).

Now we can determine the new coordinates of point D': \[ D' = (5, -8) \]

Thus, the coordinates of D' after the translation are: \[ D' = (5, -8) \]