Question

square abcd can be mapped onto the square pqrs by a dilation about the origin. 4. what is the scale factor of the dilation? a 4 b 6 c 12 d 16

Explanation:

Step1: Select corresponding side - lengths

Let's assume a side - length of square ABCD is 2 units (by counting the grid squares). The corresponding side - length of square PQRS is 8 units.

Step2: Use scale - factor formula

The scale factor \(k\) of a dilation is given by the ratio of the length of the image side to the length of the pre - image side. So \(k=\frac{\text{length of side in image}}{\text{length of side in pre - image}}\). Here, \(k = \frac{8}{2}=4\).

Answer:

A. 4