Which transformations can be used to carry ABCD onto itself? The point of rotation is (3, 2). Check all that apply.

Which transformations can be used to carry ABCD onto itself The point of rotation is 3 2 Check all that apply class=

Respuesta :

Answer:

Reflection across the line x=3

Reflection across the line y=2.

Step-by-step explanation:

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In most cases; when an object is transformed, the position of the object changes. ABCD has to be reflected across line x =3 and line y = 2 to carry it onto itself.

First, we determine the center of ABCD.

The center of ABCD is at

[tex]x = 3[/tex]

[tex]y =2[/tex]

From the question, we understand that the point of rotation is (3,2).

(3,2) means that:

[tex]x = 3[/tex]

[tex]y =2[/tex]

By comparing the center of ABCD and the point of rotation, we can see that both are the same.

Because they are equal; ABCD has to be reflected through its centers for it to be carried onto itself

i.e.

line [tex]x = 3[/tex]

line [tex]y =2[/tex]

Hence, the correct options are: (a) and (d)

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