Question

the blue figure is a dilation image of the black figure. the labeled point 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 the scale factor of the dilation is $\frac{1}{3}$. (simplify your answer.)

Explanation:

Step1: Identify side lengths

Black figure side length: $6$ units; Blue figure side length: $2$ units.

Step2: Calculate scale factor

Scale factor = $\frac{\text{Image side length}}{\text{Pre-image side length}} = \frac{2}{6} = \frac{1}{3}$

Step3: Classify dilation

Since $\frac{1}{3} < 1$, it is a reduction.

Answer:

• Dilation type: Reduction
• Scale factor: $\frac{1}{3}$