Rotated point practice
Author: Guy Barmoha

Move Point A around and see if you can put the colored points in the correct position. You will know if you are correct.

Point A is the original point.
Point B should be the rotation of Point A about the origin 90 degrees.
Point C should be the rotation of Point A about the origin 180 degrees.
Point D should be the rotation of Point A about the origin 270 degrees.
Point E should be the rotation of Point A about the origin 360 degrees.

Coloca B.

Coloca C.

Coloca D.

Coloca E.

B está bien.

C está bien.

D está bien.

E está bien.

lista1 = Sequence(Segment[(s, -1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 10.0), (s, 10.0)], s, -10.0, 10.0)
lista2 = Sequence(Segment[(-1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 10.0, s), (10.0, s)], s, -10.0, 10.0)
A = (2, 3)
B = (-5, 5)
C = (-8, -2)
D = (4, 1)
E = (4, -4)
testB: B ≟ (y(A), x(A))
testC: C ≟ (-1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * y(A), x(A))
testD: D ≟ (-1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 2.0 - x(A), -1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 1.0 * 2.0 - y(A))
testE: E ≟ (x(C) - y(C) + y(A), x(C) + y(C) - x(A))
PB = (12, 10)
PC = (12, 8)
PD = (12, 6)
PE = (12, 4)
c = Segment(A, B)
d = Segment(A, D)
F = (0, 0)
α = Angle(A, F, C)
β = Angle(E, C, A)
e = Segment(A, C)
f = Segment(C, E)
g = Segment(F, A)
h = Segment(F, C)
polígono1, i, j, k, l = Polygon((-10.0, 8.0), (8.0, 8.0), (8.0, -10.0), (-10.0, -10.0))