Point E lies on segment AB, and point C lies on segment FG. The area of parallelogram ABCD is 20 square units. What’s the area of parallelogram EFGD?
Source: Alfred S. Posamentier, Math Wonders to Inspire Teachers and Students, 2003.
Let H be the intersection of lines AB and FG.
Using two shear transformations we have
Area(EFGD) = Area(EHCD) = Area(ABCD) = 20.
Posted by Bractals
on 2016-09-19 13:25:12