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.