Question

what type of dilation took place? what is the scale factor? 1/3 1/2 2 3 4

Explanation:

Step1: Observe the size change

The pre - image (the smaller shape) is transformed into a larger image. When a figure becomes larger after dilation, it is an enlargement.

Step2: Calculate scale factor

Let's consider the vertical distance from point O to N in the pre - image which is 2 units, and the vertical distance from point O' to N' in the image which is 6 units. The scale factor $k$ is given by the ratio of the corresponding lengths of the image to the pre - image. So, $k=\frac{\text{length in image}}{\text{length in pre - image}}=\frac{6}{2} = 3$.

Answer:

Enlargement
3