Question

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? C=(-5,1)



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Answer 1

To find the coordinates of point C' after the translation, we need to apply the horizontal and vertical transformations to the original coordinates of point C.

Given:
- Original coordinates of point C: C = (-5, 1)
- Horizontal translation: -4 (this means we will subtract 4 from the x-coordinate)
- Vertical translation: +3 (this means we will add 3 to the y-coordinate)

Now, let's perform the calculations:

1. For the x-coordinate:
\[
x' = -5 + (-4) = -5 - 4 = -9
\]

2. For the y-coordinate:
\[
y' = 1 + 3 = 4
\]

Therefore, the coordinates of C' after the translation will be:
\[
C' = (-9, 4)
\]

So, C' = (-9, 4).