What is the scale factor of the dilation

 The required scale factor of dilation is 2.

Step-by-step explanation:  We are given to find the scale factor of dilation shown in the figure.

From the figure, we see that

triangle ABC is dilated to triangle A'B'C', where the co-ordinates of the points A, B, A' and B' are (2, 3), (2, -2), (4, 6) and (4, -4) respectively.

So, the lengths of the sides AB and A'B' can be calculated using distance formula as follows :

We know that

the scale factor of dilation is defined as

Therefore, the scale factor of the given dilation will be

Thus, the required scale factor is 2.

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step-by-step explanation: