Rectangle a'b'c'd' is the image of rectangle abcd after it has been translated according to the rule t–4, 3(x, y).

which points are vertices of the pre-image, rectangle abcd? check all that apply.(–1, –2)(7, 1)(–1, 7)(–1, 1)(7, –2)

we know that

The rule of the translation of the pre-image to the image is equal to

that means

The translation is units to the left and units up

so

the inverse rule of translation of the image to the pre-image is equal to

we have the vertices of the image

Applying the inverse rule of the translation find the coordinates of the vertices of the pre-image

Step 1

Find the coordinates of the vertex A of the pre-image

the coordinates of vertex A is

Step 2

Find the coordinates of the vertex B of the pre-image

the coordinates of vertex B is

Step 3

Find the coordinates of the vertex C of the pre-image

the coordinates of vertex C is

Step 4

Find the coordinates of the vertex D of the pre-image

the coordinates of vertex D is

Step 5

Verify which points are vertices of the pre-image

-------> this point is the vertex D of the pre-image

-------> this point is the vertex B of the pre-image

-------> this point is not a vertex of the pre-image

-------> this point is the vertex C of the pre-image

therefore

the answer is

answer: c

(2, -4)

goes 7 to the

(9, 4)

easy