CONSTRUCTION OF A PARALLELOGRAM

CONSTRUCTION OF A PARALLELOGRAM

PROPERTIES OF A PARALLELOGRAM
*Opposite sides are equal and parallel
*Opposite angles are equal
*Sum of adjacent angles are supplementary
*Diagonals bisect each other.

Author: SHAILAJA.T.K
Copy right :CC BY SA

Properties

base = 10 (slider from 1 to 30, step 1)
α_1 = 1.3962634015954636 rad (slider from 0 to 6.283185307179586, step 0.017453292519943295)
h = 6 (slider from 1 to 30, step 1)
A = (-9.44, 0.0646)
B = Point(Circle[A, base])
f = Segment(A, B)
B' = Rotate(B, α_1, A)
α = Angle(B, A, B')
g = Ray(A, B')
c = Circle(A, h)
C_1 = Intersect(c, g, 1)
i = Line(C_1, f)
j = Line(B, g)
D = Intersect(i, j)
C = Intersect(i, g)
β = Angle(D, B, A)
γ = Angle(C, D, B)
E = (1.94, 3.42)
F = (-4.6, 0.74)
δ = Angle(A, C, D)
q1, a, b, d, c_1 = Polygon(A, B, D, C)
perimeterq1 = Perimeter(q1)
Textq1: "Perimeter of  " + (Name[A]) + (Name[B]) + (Name[D]) + (Name[C]) + " = " + perimeterq1
Pointq1_1 = PointIn(q1)
text1: "Area of  " + (Name[A]) + (Name[B]) + (Name[D]) + (Name[C]) + " = " + q1
Pointq1 = PointIn(q1)
G = (0.06, 1.34)
k = Segment(A, G)
l = Segment(G, D)
m = Segment(B, C)
H = (4.5, 1.18)
n = Segment(B, H)
p = Segment(A, D)
O = Intersect(m, p)
text5: "Sum of measures of the angles of a parallelogram =360°
Sum of the angles =" + α + "+" + β + "+" + γ + "+" + δ + "=360°
Sum  of the angles=α+β+γ+δ=360°"
text6: "Sum of adjacent angles=180°
α+β =180°
Sum of adjacent angles=" + α + "+" + β + "=180°"
e = true