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

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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