Question

Using the side lengths of rectangle ABCD and rectangle EFGH, find the scale factor needed to transform from one shape to the other.



The scale factor needed to convert from ABCD to EFGH is: 

The scale factor needed to convert from EFGH to ABCD is: 

Answer 1

To find the scale factor needed to convert from one rectangle to the other, we can compare the corresponding side lengths of the rectangles.

Let's say:
AB = 6, AD = 4, EF = 3, and EH = 2 for rectangles ABCD and EFGH respectively.

To find the scale factor to convert from ABCD to EFGH:
Scale factor = EF / AB = 3 / 6 = 0.5
Therefore, the scale factor needed to convert from ABCD to EFGH is 0.5.

To find the scale factor to convert from EFGH to ABCD:
Scale factor = AB / EF = 6 / 3 = 2
Therefore, the scale factor needed to convert from EFGH to ABCD is 2.