Answer A. 15 glad to help
The 2 angles are complemantary or form right angles so

so

. Plugging that into BDC we get 11
9/6 = 1.5
24/1.5 = 16
triangle DEF has a primeter of 16 inches
The triangle will still be similar to the original triangle.
Those transformations altered the position and scale of the triangle, but the angle measures are still the same.