Question

the blue figure is a dilation of the red figure. identify the type of dilation and find the scale factor.
the dilation is
the scale factor is a reduction
an enlargement ⅟₂ ⅟₄ ³⁄₂ 3 2 ¾ ⅔

Explanation:

Step1: Compare figure sizes

The blue figure is larger than the red figure, so it is an enlargement.

Step2: Select a pair of corresponding sides

Let's consider the horizontal side of the red - figure from \(B\) to the right - most point of the red figure (length \(2\) units) and the corresponding horizontal side of the blue figure from \(B'\) to the right - most point of the blue figure (length \(4\) units).

Step3: Calculate scale factor

The scale factor \(k=\frac{\text{length of side in image}}{\text{length of corresponding side in pre - image}}\). So \(k = \frac{4}{2}=2\).

Answer:

The dilation is an enlargement
The scale factor is \(2\)