Question

The figure shows two semicircles centered at G and H. Point B is on both semicircles. Line DF touches each circle at one point only, points F and E. If DE = 4 and EF = 8, what is the scale factor applied when triangle DEH is dilated to make triangle DFG?

Answer 1

The scale factor applied when triangle DEH is dilated to make triangle DFG is 1:2.

Step-by-step explanation:

To find the scale factor applied when triangle DEH is dilated to make triangle DFG, we need to compare the corresponding sides of both triangles.

In this case, we can compare DE and DF. Since DE = 4 and EF = 8, we can say that the scale factor from DEH to DFG is 1:2.

This means that for every 1 unit of length in DEH, there are 2 units of length in DFG.