Question

Dilate the figure by the scale factor. Then enterthe new coordinates.A(0,2)K=10A'([?],[]).B'([ ] 1)C'([ ] 1)B(3,-2)C(-1,-4)

Answer 1

When we dilate the figure by a scale factor k, in this case, k=10:

"the algebraic representation of the dilation is (x, y) → (kx, ky)."

So the point A(0,2) after multiplying the x and y coordinate by 10:

A(0,2) = A'(10*0,10*2) = A'=(0,20)

Now with the others points:

B(3,-2) = B'(10*3,10*-2) = B'(30,-20)

C(-1,-4) = C'=(10*-1.10*-4) =B'=(-10,-40)