Using the side lengths of rectangle ABCD and rectangle EFGH, find the scale factor needed to transform from one shape to the other. (Click Here for Help Video) (1 point) The scale factor needed to convert from ABCD to EFGH is: The scale factor needed to convert from EFGH to ABCD is:
To find the scale factor needed to convert from ABCD to EFGH, we can divide the corresponding side lengths of the two rectangles.
Let's say the side length of AB (which corresponds to EF) in ABCD is 4 units, and the side length of AD (which corresponds to EH) is 6 units.
In EFGH, let's say the side length of EF is 2 units, and the side length of EH is 3 units.
To find the scale factor:
Scale factor AB to EF = EF / AB = 2 / 4 = 0.5
Scale factor AD to EH = EH / AD = 3 / 6 = 0.5
So the scale factor needed to convert from ABCD to EFGH is 0.5.
To convert from EFGH to ABCD, we can simply take the reciprocal of the scale factor we found earlier.
Scale factor EFGH to ABCD = 1 / 0.5 = 2
So the scale factor needed to convert from EFGH to ABCD is 2.