Answer:
2
Step-by-step explanation:
ABCD is 3 by 2 and A'B'C'D' is 6 by 4
Answer:
From the given figure;
Coordinates of Pre-Image ABCD are:
A(1, 4) ,B(3, 4), C(3, 1) and D(1, 1)
and
Coordinates of Image A'B'C'D' are;
A'(2, 8), B'(6, 8), C'(6, 2) and D'(2, 2)
The rule of dilation with scale factor k and centered at origin is given by;
[tex](x, y) \rightarrow (kx, ky)[/tex]
Consider any coordinates:
Take A (1, 4) and A'(2, 8) to find the values of k;
Using above rules:
[tex]A(1, 4) \rightarrow (k(1), k(4))= A'(k, 4k)[/tex]
A'(k, 4k) = A'(2, 8)
Compare both sides we have
k = 2
Therefore, the scale factor(k) is used to create the dilation is 2
