Question

Hi i am practicing for a test. Any help would be appreciated.

Answer 1

Scale factor 1/2 means all the points be 1/2 of original.

Point A is (0,4)

Point B is (4,2)

So,

Point A' would be (0,2)

Point B' would be (2,1)

The distance between them would be followed by distance formula:

$D=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}$

Keeping the points of A' and B' and putting into formula, we have:

$\begin{gathered} D=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ D=\sqrt[]{(1-2)^2+(2-0)^2} \\ D=\sqrt[]{(-1)^2+(2)^2} \\ D=\sqrt[]{1+4} \\ D=\sqrt[]{5} \end{gathered}$

So,

3rd andswer choice is rright

$D=\sqrt[]{5}$