Question

Which points sre vertices of the pre-image, rectangle ABCD?Makes no sense

Answer 1

Given rectangle A'B'C'D', you know that it was obtained after translating rectangle ABCD using this rule:

`T_(-4,3)(x,y)`

That indicates that each point of rectangle ABCD was translating 4 units to the left and 3 units up, in order to obtain rectangle A'B'C'D'.

Notice that the coordinates of the vertices of rectangle A'B'C'D' are:

`\begin{gathered} A^(\prime)(-5,4) \\ B^(\prime)(3,4) \\ C^(\prime)(3,1) \\ D^(\prime)(-5,1) \end{gathered}`

Therefore, in order to find the coordinates of ABCD, you can add 4 units to the x-coordinate of each point and subtract 3 units to each y-coordinate of each point. You get:

`\begin{gathered} A=(-5+4,4-3)=(-1,1) \\ B=^(3+4,4-3)=(7,1) \\ C=(3+4,1-3)=(7,-2) \\ D=(-5+4,1-3)=(-1,-2) \end{gathered}`

Hence, the answers are:

- First option.

- Second option.

- Fourth option.

- Fifth option.