Question

Determine the scale factor for each dilation. Determine whether the dilation is an enlargement, reduction, or congruence transformation.

a. 2; enlargement
b. 2; reduction
c. 1/2 ; enlargement
d. 1/2 ; reduction

Answer 1

General Idea:

W hen we are given a point P(x, y) centered at origin with a scale factor of k, then the dilated point will be given by P' (kx, ky)

When
`k>1`, then P' is enlargement of P

When
`0 < k < 1`, then P' is reduction of P

Applying the concept:

In the diagram given A'B'C' is enlargement of ABC. So the correct option will be option A.
`k = 2`, enlargement