Question

Quadrilateral EFGH was dilated to form quadrilateral DABC What scale factor was used in this dilation?

Answer 1

To determine the scale factor used in a dilation, one needs to measure corresponding sides of the original and the dilated figure and then divide the length from the dilated figure by the length from the original figure.

Step-by-step explanation:

The student asked how to determine the scale factor used in a dilation from quadrilateral EFGH to quadrilateral DABC. To find the scale factor, one might need to compare corresponding lengths in the two figures. Although the student did not provide specific measurements, here is the general process:

1. Measure the length of a side on quadrilateral EFGH.
2. Measure the corresponding length on quadrilateral DABC.
3. Divide the length from quadrilateral DABC by the corresponding length on EFGH.

This division will give you the scale factor. If, for example, a side of EFGH is 2 inches and the corresponding side of DABC is 6 inches, then the scale factor would be 6/2 = 3. This means quadrilateral DABC is three times larger than EFGH.