determine the scale factor used in the dilation of the larger rectangle (10 20) to the similar smaller rectangle (10 5)
To determine the scale factor used in the dilation of the larger rectangle (10,20) to the similar smaller rectangle (10,5), we can compare the corresponding side lengths of the two rectangles.
The scale factor is the ratio of the corresponding side lengths of the smaller rectangle to the larger rectangle. In this case, the corresponding side lengths are the height of the rectangles.
For the larger rectangle, the height is 20 units.
For the smaller rectangle, the height is 5 units.
So, the scale factor is:
5 / 20 = 0.25
Therefore, the scale factor used in the dilation of the larger rectangle to the smaller rectangle is 0.25.