Coordinate Game
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This is a coordinate game that demonstrates basic concepts in coordinate geometry through randomly generated points and vectors. Key mathematical concepts include coordinates, vectors, and loci. Using GeoGebra commands such as Random, Circle, Ray, and Intersect, a variety of geometric shapes can be constructed. Suitable for students in middle school and above to learn about coordinate geometry and vectors.
GeoGebra Commands & Parameters
Random(-10, 10) → bbRandom(-10, 10) → aaRandom(-10, 10) → ccRandom(4, 15) → rrCircle(A, (((1.5 * v) - 1) * rr)) → c'Ray(A, (0, 0)) → aOrthogonalLine(A, a) → bIntersect(c', b) → B, CIntersect(c', a) → D, TCircumcircleArc(B, D, C) → dMidpoint(C, D) → EMidpoint(B, D) → F_2Ray(A', E) → eRay(A', F_2) → fIntersect(d, e) → G,Intersect(d, f) → H,CircumcircleArc(G, D, H) → gCircle(I, 1) → hSequence(Text[If[s < 10, " ", ""] + (s), (21.6 + (2 * Mod[s - 1, 3]), 7.75 - (2 * Div[s - 1, 3]))], s, 1, 12) → liste3Circle(J, 1) → kSequence(Text[If[s ≟ 1, " ", If[s < 5, " ", ""]] + ((30 * (s - 1))) + "º", (21.25 + (2 * Mod[s - 1, 3]), -6.25 - (2 * Div[s - 1, 3]))], s, 1, 12) → liste4If(yB > -5, 5°, ((((xB - (3 * yB)) / 2 - 19 - 1) * 30))°) → angIf(ang ≟ α ∧ dist ≟ rr, true, false) → razSegment(O, N) → mCircle(A, (((2 * v) - 1) * rr) - n) → pSequence(Circle[A, (((1.5 * v) - 1) * rr) - i], i, 0, n, n / 10) → liste5Polygon(P, Q, R, S) → poly1, p_1, q, r_1, sCircle((0, 0), If[((2 * v) * rr) > 12, 0, ((2 * v) * rr)]) → cMidpoint(K, L) → UMidpoint(U, L) → VMidpoint(U, V) → WMidpoint(V, L) → ZSegment(K, C_1) → lLine(A, l) → iSegment(A, U) → tIntersect(c, t) → A_1, B_1Segment(U, A_1) → a_1Rotate(C_1, (6 * v), U) → L'Segment(U, L') → b_1Mod((v * 100), 2) → abSegment(O, D_1) → jCircle(O, C_1) → g_1Point(g_1) → E_1Segment(O, E_1) → h_1Circle(F_1, 6.5 - abs(r / 4.5)) → q_1Line(F_1, l) → i_1Intersect(q_1, i_1) → G_1, H_1Line(J_1, r_1) → j_1Point(j_1) → N_1Line(N_1, l) → l_1Line(J_1, l) → m_1Point(m_1) → O_1Point(l_1) → P_1Intersect(l_1, r_1) → M_1Polygon(M_1, N_1, J_1, F) → poly2, m_2, n_1, j_2, f_2Point(l_1) → Q_1Point(m_1) → R_1Polygon(P_1, Q_1, R_1, O_1) → poly3, p_2, q_2, r_2, o_1Point(j_1) → S_1Polygon(S_1, T_1, O_1, J_1) → poly4, s_1, t_1, o_2, j_3Midpoint(s_1) → V_1Midpoint(o_2) → W_1Midpoint(S_1, J_1) → Z_1Midpoint(t_1) → A_2Segment(V_1, W_1) → a_2Segment(Z_1, A_2) → b_2Intersect(b_2, a_2) → B_2Circle(B_2, V_1) → c_2Sequence((x(O) + i, y(D_1)), i, -11, 11, 1) → liste1Sequence((x(N) + i, y(N)), i, -11, 11, 1) → liste6Sequence((x(C_1), y(C_1) + i), i, -11, 11, 1) → liste7Sequence((x(E_1), y(E_1) + i), i, -11, 11, 1) → liste8Ray(M_1, T_1) → c_1Sequence(Segment[Element[liste8, i], Element[liste7, i]], i, 0, 22) → liste10Sequence((x(D_1) + i, 0), i, -11, 11) → liste2Sequence(Segment[Element[liste1, i], Element[liste6, i]], i, 0, 22) → liste9Line(S, P) → d_1Line(J_1, S_1) → e_1Line(Q_1, e_1) → f_1Intersect(d_1, s) → MIntersect(d_1, f_1) → C_2Line(R, d_1) → k_1Intersect(e_1, k_1) → D_2Polygon(S, C_2, Q_1, S_1, D_2, R) → poly5, s_2, c_3, q_3, s_3, d_2, r_3Point(d_1) → E_2Line(E_2, p_1) → e_2Intersect(k_1, e_2) → G_2Polygon(E_2, P, Q, G_2) → poly6, e_3, p_3, q_4, g_2Sequence(O + (i, 0), i, -10, 10) → liste11Sequence(O + (0, i), i, -10, 10) → liste12Sequence(i, i, -10, 10) → liste13Sequence(Text[Element[liste13, i], (x(Element[liste11, i] - 0.42), y(Element[liste11, i] - 0.85))], i, 1, Length[liste13], 2) → liste14Sequence(Text[Element[liste13, i], (x(Element[liste12, i] - 1), y(Element[liste12, i] - 0.31))], i, 1, Length[liste13], 2) → liste15