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.

Answer 1

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:

$(x,y)\to (x-2,y-2)$

Using this rule of translation, the image of (5,−2) is

$(5,-2)\to (5-2,-2-2)$

$(5,-2)\to (3,-4)$

Therefore, the coordinates of the image of the point (5,−2) under the same translation are (3,-4).