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.

in progress 0
Bình An 4 years 2021-07-22T15:51:00+00:00 1 Answers 82 views 0

Answers ( )

    0
    2021-07-22T15:52:59+00:00

    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).

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )