Question

Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D’ in the image are (9, –8)

Answer 1

Given : Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'.  coordinates of point D’ in the image are (9, –8)

To find : What are the coordinates of point D in the pre-image

Solution:

Let say  coordinates of point D in the pre-image

were  (x  , y )

translated using the rule (x, y) → (x – 4, y + 15)  

=> D'  =  (x - 4  , y + 15)

D' = ( 9 , - 8)

Equating both

=> x - 4 = 9  => x = 13

&  y + 15 = -8  => y = - 23

D = ( 13 , - 23)

coordinates of point D in the pre-image  =  ( 13 , - 23)

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Answer 2

Answer:

answer is A (13, -23)

Step-by-step explanation: