Question

describe the transformation that maps figure efgh onto its image. figure efgh is dilated by a scale factor of blank.

Explanation:

Step1: Identify side - length comparison

Count the grid - units of corresponding sides of figure EFGH and its image E'F'G'H'. For example, if a side of EFGH is 2 grid - units and the corresponding side of E'F'G'H' is 4 grid - units.

Step2: Calculate scale factor

The scale factor $k$ of a dilation is given by the ratio of the length of a side of the image to the length of the corresponding side of the pre - image. Let the length of a side of the pre - image be $l_1$ and the length of the corresponding side of the image be $l_2$. Then $k=\frac{l_2}{l_1}$. If $l_1 = 2$ and $l_2=4$, then $k = 2$.

Answer:

2