Noticethat the diagonalsin this diagramhavealreadybeendrawnin for you. To find the slope,find thechangein over the changein. This is also referredto asrise over run.
Beginby findingthe slopeof the diagonal , whichgoesfrom W(-3,2)to Y(5,-2).Now find the slopeof the diagonal from Z(0,-2)to X(2,2).The slopeof and the slopeof. Thesetwo slopesare oppositereciprocalsof each
other, so the two segmentsare perpendicular.
Diagonalsas AngleBisectors
Sincea rhombusis a parallelogram,oppositeanglesare congruent.One propertyuniqueto rhombiis that
in any rhombus,the diagonalswill bisectthe interiorangles.Herewe will provethis theoremusinga different
methodthan the proofwe showedabove.