Question

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)

Answer 1

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.