A'(3, 2 ), B'(6, 6 ),C'(6, - 3 )
A translation of 2 units right is equivalent to adding 2 to the x- coordinate with no change to the y- coordinate.
A(1, 2 ) → A'(1 + 2, 2 ) → A'(3, 2 )
B(4, 6 ) → B'( 4 + 2, 6 ) → B'(6, 6 )
C(4, - 3 ) → B'(4 + 2, - 3 ) → B'(6, - 3 )
So, this question is basically asking us "If we had an x instead of a 2, would this be true?" We can try and see what we get:
So, if we want to show this we have to change the numerator or denominator in such a way that we can cancel some common factors. Notice that
If we replace the factored numerator with the original one, we get:
Since we have an equality, this relation is proved.