Question

the blue figure is a dilation image of the black figure. the origin is the center of dilation. tell whether the dilation is an enlargement or a reduction. then find the scale factor of the dilation. is the dilation an enlargement or a reduction? □ enlargement □ reduction

Explanation:

Step1: Identify image size change

The blue (original) figure is smaller than the black (dilated) figure, so it is an enlargement.

Step2: Find scale factor

Pick a vertex of the blue square, e.g., $(2,2)$, and its corresponding black square vertex $(4,4)$. Calculate the ratio of dilated coordinate to original coordinate: $\frac{4}{2}=2$.

Answer:

Is the dilation an enlargement or a reduction?
$\boldsymbol{\text{Enlargement}}$
Scale factor: $\boldsymbol{2}$