*quadrilateral *2 pairs of parallel sides adjacent sides equal 180
*opposite sides are equal in length * 360 inteorer angles
*diaganals intersect at a 90 angle *AlAs *AEAs *CIAs
Area of a Parallelogram
*Area=base(height) *twice the area of a triangle
*the area is the inside of the parallelogram
*area is equal to the magnitue of the (vector cross product)
Perimeter of Parallelograms
*Height+Height+Length+Length=perimeter
Types of Parallelograms
*Rhomboid-opposite sides are parallel, adjacent sides are unequal, no right angles
*Rectangle-4 right angles, opposite sides are parallel, and opposite sides are equal
*Rhombus- sides are equal in length are parallel
*Square-4 right angles, opposite sides are equal and are parallel
Diagonals of Parallelograms
*p=√a squared+b squared-2ab(cosA)
*q=√ a squared+b squared-2ab(cosB)
*simplified- p squared+q squared=2(a squared+b squared)
*met in the center of the parallelogram
History of Parallelograms
*Robert Owen created the first parallelogram in 1820
*Diagonals were founded by Casey in 1888. *later on Beyer simplified it in 1987
Parallelogram Law
*ABC be a parallelogram with side lengths U,V and who's diagonals have lengths d1, and d2
*2u squared+2v squared=d1 squared+d2 squared
Parallelograms
What is a Parallelogram?
*quadrilateral *2 pairs of parallel sides adjacent sides equal 180*opposite sides are equal in length * 360 inteorer angles
*diaganals intersect at a 90 angle *AlAs *AEAs *CIAs
Area of a Parallelogram
*Area=base(height) *twice the area of a triangle*the area is the inside of the parallelogram
*area is equal to the magnitue of the (vector cross product)
Perimeter of Parallelograms
*Height+Height+Length+Length=perimeterTypes of Parallelograms
*Rhomboid-opposite sides are parallel, adjacent sides are unequal, no right angles*Rectangle-4 right angles, opposite sides are parallel, and opposite sides are equal
*Rhombus- sides are equal in length are parallel
*Square-4 right angles, opposite sides are equal and are parallel
Diagonals of Parallelograms
*p=√a squared+b squared-2ab(cosA)*q=√ a squared+b squared-2ab(cosB)
*simplified- p squared+q squared=2(a squared+b squared)
*met in the center of the parallelogram
History of Parallelograms
*Robert Owen created the first parallelogram in 1820*Diagonals were founded by Casey in 1888. *later on Beyer simplified it in 1987
Parallelogram Law
*ABC be a parallelogram with side lengths U,V and who's diagonals have lengths d1, and d2*2u squared+2v squared=d1 squared+d2 squared