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)

Question

fabioramos0115 fabioramos0115

21-06-2017
Mathematics

contestada

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)

Respuesta :

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calculista calculista · Answer 1 · 2018-10-30T22:30:54+01:00

we know that

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

[tex](x,y)-------> (x-4,y+3)[/tex]

that means

The translation is [tex]4[/tex] units to the left and [tex]3[/tex] units up

so

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

[tex](x',y')-------> (x'+4,y'-3)[/tex]

we have the vertices of the image

[tex]A'(-5,4)\\B'(3,4)\\C'(3,1)\\D'(-5,1)[/tex]

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

[tex](-5,4)-------> (-5+4,4-3)[/tex]

[tex](-5,4)-------> (-1,1)[/tex]

the coordinates of vertex A is [tex](-1,1)[/tex]

Step 2

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

[tex](3,4)-------> (3+4,4-3)[/tex]

[tex](3,4)-------> (7,1)[/tex]

the coordinates of vertex B is [tex](7,1)[/tex]

Step 3

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

[tex](3,1)-------> (3+4,1-3)[/tex]

[tex](3,1)-------> (7,-2)[/tex]

the coordinates of vertex C is [tex](7,-2)[/tex]

Step 4

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

[tex](-5,1)-------> (-5+4,1-3)[/tex]

[tex](-5,1)-------> (-1,-2)[/tex]

the coordinates of vertex D is [tex](-1,-2)[/tex]

Step 5

Verify which points are vertices of the pre-image

[tex](-1,-2)[/tex] -------> this point is the vertex D of the pre-image

[tex](7,1)[/tex] -------> this point is the vertex B of the pre-image

[tex](-1,7)[/tex] -------> this point is not a vertex of the pre-image

[tex](7,-2)[/tex] -------> this point is the vertex C of the pre-image

therefore

the answer is

[tex](-1,-2)[/tex]

[tex](7,1)[/tex]

[tex](7,-2)[/tex]

gpala25 gpala25 · Answer 2 · 2022-04-15T19:15:02+02:00

gpala25 gpala25

15-04-2022

Answer:

ANSWER: A, B and E

Step-by-step explanation:

Answer Link

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)

Respuesta :

ANSWER: A, B and E

Otras preguntas

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)