The image of the point (−5,−5) under a translation is (0,0). Find the coordinates of the image of the point (9,4) under the same translation.
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Answer:
The coordinates of the image of the point (-2,9) under the same translation will be: (0, 4)
Step-by-step explanation:
Given that the image of the point (-5, 4) under a translation is (-3,-1).
It means the image (-3, -1) is obtained by moving the right side by 2 units and moving 5 units down.
In other words, the rule of translation is:
P(x, y) → (x+2, y-5)
(-5, 4) → (-5+2, 4-5) → (-3, -1)
now
TRANSLATING THE POINT (-2, 9)
We already know the translation rule
P(x, y) → (x+2, y-5)
so
(-2, 9) → (-2+2, 9-5) → (0, 4)
Therefore,
The coordinates of the image of the point (-2,9) under the same translation will be: (0, 4)
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