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The image of the point ( 0 , 7 ) (0,7) under a translation is ( − 2 , 5 ) (−2,5). Find the coordinates of the image of the point ( 5 , − 2 )
Question
The image of the point ( 0 , 7 ) (0,7) under a translation is ( − 2 , 5 ) (−2,5). Find the coordinates of the image of the point ( 5 , − 2 ) (5,−2) under the same translation.
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Mathematics
4 years
2021-07-22T15:51:00+00:00
2021-07-22T15:51:00+00:00 1 Answers
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Answers ( )
Given:
The image of the point (0,7) under a translation is (−2,5).
To find:
The coordinates of the image of the point (5,−2) under the same translation.
Solution:
It is given that, the image of the point (0,7) under a translation is (−2,5). Here, the x-coordinate decreased by 2 and the y-coordinate decreased by 2 so the rule of translation is:
Using this rule of translation, the image of (5,−2) is
Therefore, the coordinates of the image of the point (5,−2) under the same translation are (3,-4).