Question

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

Explanation:

Step1: Observe the size change

The pre - image (triangle ABC) is smaller than the image (triangle A'B'C'). When the image is larger than the pre - image in a dilation, it is an enlargement.

Step2: Calculate scale factor

Let's assume a point on the pre - image and its corresponding point on the image. For example, if we consider the vertical distance from a vertex of the pre - image to the x - axis and the corresponding vertex of the image to the x - axis. Suppose the distance of a vertex of triangle ABC from the x - axis is 2 units and the distance of the corresponding vertex of triangle A'B'C' from the x - axis is 4 units. The scale factor $k$ is given by the ratio of the distance of the point on the image to the distance of the corresponding point on the pre - image. So, $k=\frac{\text{distance on image}}{\text{distance on pre - image}}=\frac{4}{2} = 2$.

Answer:

What type of dilation took place?
Enlargement
What is the scale factor?
2