Question

Which coordinates will best represent point A'?

A. (-2, 5)

B. (4, -3)

C. (-2, -3)

D. (4, 5)​

Answer 1

A. (-2,5)

Explanation:

The figure ABC is translated to A'B'C' by the rule (x-3, y+4)

The Image of the triangle will therefore be as follows:

A' (1-3,1+4)

B'(2-3,5+5)

C'(3-3,2+5)

The vertices will thus be A'(-2,5), B'(-1,10) and C'(0,7)

Thus the correct answer will be A. (-2,5)

Answer 2

Answer: OPTION A.

Explanation:

You know that the rule that will be used for the translation of the figure ABC is:

`(x,y)`→
`(x-3,\ y+4)`

You can observe in the figure that the coordinates of the point A is this:

`A(1,1)`

Then, in order to find the coordinates that will best represent point A', you need to subtract 3 from the x-coordinate of the point A and add 4 to the y-coordinate of the point A:

`A'(1-3,\ 1+4)\\\\A'(-2,5)`