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After a translation is performed on A(-2, 5) to produce A'(3, -1), where would B’ be located after the same translation isperformed on B(1, -4)?A. (-4, 2)B. (-4, -10)C. (6,-10)D. (6,2)

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The given point is

A(-2,5)

After translation, we get


A^(\prime)(3,-1)_{}

Let us consider the translation point as follows:


A^(\prime)(3,-1)_{}=A^(\prime)(-2+a,5+b)

It can be written as follows:


(3,-1)_{}=(-2+a,5+b)


3=-2+a\text{ , -1=5+b}


3+2=a\text{ , -1-5=b}


5=a\text{ , -6=b}


a=5\text{ , b}=-6

The translation of B (1,-4) is


B^(\prime)(1+a,-4+b)

Substitute values, we get


B^(\prime)(1+a,-4+b)=B^(\prime)(1+5,-4-6)


=B^(\prime)(6,-10)

The translation is performed on B(1, -4) to produce


B^(\prime)(6,-10)

Option C) is correct.

User Tyronn
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