Question

Jarvis wants to translate rectangle ABCD C(-5,1) 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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Answer 1

To find the new coordinates of point C after the translation, we start with the original coordinates of point C, which are C(-5, 1).

The translation changes the coordinates as follows:

1. **Horizontal Translation**: Move horizontally by -4.
- New x-coordinate = -5 + (-4) = -5 - 4 = -9.

2. **Vertical Translation**: Move vertically by +3.
- New y-coordinate = 1 + 3 = 1 + 3 = 4.

Putting these together, the new coordinates of point C' after the translation will be:

C'(-9, 4).

Thus, the coordinates of C' are **(-9, 4)**.