call the larger triangle abc
then the smaller triangle cde is similar to abc (all angles are equal, aaa).
ab is the side that is 36, and we wish to find de, the side corresponding to ab
area_cde = area_abc - area_cde --> area_abc / area_cde = 2
let x=length of de
ratio of areas = (ratio of sides)^2
what is the model?
b) k’(6, 4); l’(3, 3)
a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)
this means the endpoints of the side congruent to kl, k' and l', would be mapped as:
k'(-4, 6)→(6, 4)
l'(-3, 3)→(3, 3)