
06520643
j
2016a.00645
Palmer, Katrina
Geometric view connecting determinants and area.
Consortium 108, 12 (2015).
2015
COMAP (Consortium for Mathematics and Its Applications), Bedford, MA
EN
G70
U70
E50
analytic geometry
Cartesian geometry
coordinate geometry
parallelograms
area
visualization
geometric proofs
geometry software
determinants
linear algebra
vectors
rectangles
trapezoids
Summary: I love finding new and interesting proofs and demonstrations of geometric theorems particularly ones that are visual. One of my favorite theorems in coordinate geometry states that the area of the parallelogram $ABCD$ with vertices at $A(0,0)$, $B(a,b)$, $C(a+c,b+d)$ and $D(c,d)$ is equal to the product $adbc$. This edition's Column gives a nice visual demonstration, using Geometer's SketchPad, of this theorem when applied to any parallelogram, not just one with a vertex at the origin.