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Jarvis wants to translate rectangle ABCD horizontally by -4 and vertically by +3 to produce rectangle A’B’C’D’. What will be the coordinates of C’ after Jarvis completes this translation?

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1 answer

To perform the translation for rectangle ABCD, we need to apply the specified horizontal and vertical shifts to the coordinates of point C.

The translation specified is a horizontal shift of -4 (which means moving left by 4 units) and a vertical shift of +3 (which means moving up by 3 units).

If the original coordinates of point C are given as (x, y), then the coordinates after the translation will be:

  • New x-coordinate: \( x - 4 \)
  • New y-coordinate: \( y + 3 \)

So the new coordinates of point C', denoted as C', will be:

C' = (x - 4, y + 3)

Since the original coordinates of C are not provided in your question, please provide coordinates for point C, and I can compute the final coordinates for C'.