Translation and Rotation
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This example demonstrates the concepts of translation and rotation. Using Vector and Rotate commands, dynamic geometric figures can be created. The commands used include Vector, Translate, Polygon, Segment, Angle, and Point. Suitable for middle school and above students to learn geometric transformations.
GeoGebra Commands & Parameters
Vector(E, F) → a_{1}Vector(S, T) → uVector(U, V) → vVector(W, Z) → wVector(A_1, B_1) → aTranslate(pic4, a_{1}) → pic4'Translate(pic5, u) → pic5'Translate(pic3, v) → pic3'Translate(pic6, w) → pic6'Translate(pic8, a) → pic8'Translate(pic7, a) → pic7'Vector(W_{1}, Z_{1}) → w_{1}Translate(pic6_{1}, w_{1}) → pic6'_{1}Vector(A_{2}, B_{2}) → a_{2}Translate(pic8_{1}, a_{2}) → pic8'_{1}Translate(pic7_{1}, a_{2}) → pic7'_{1}Vector(U_{1}, V_{1}) → v_{1}Translate(pic3_{1}, v_{1}) → pic3'_{1}Vector(E_{1}, F_{1}) → a_{3}Translate(pic4_{1}, a_{3}) → pic4'_{1}Vector(S_{1}, T_{1}) → u_{1}Translate(pic5_{1}, u_{1}) → pic5'_{1}Polygon(C_1, D_1, G_1, H_1) → q1, c_1, d_1, g_1, h_1Polygon(C_{2}, D_{2}, G_{2}, H_{2}) → q1_{1}, c_{2}, d_{2}, g_{2}, h_{2}Segment(K_1, E') → cmSegment(A', B') → fSegment(C', B') → gSegment(P_1, Q_1) → iSegment(R_1, Q_1) → jSegment(E_2, F_2) → kVector(I_2, J_2) → bVector(I_1, J_1) → cAngle(R_1, Q_1, P_1) → αTranslate(P_1, c) → L_1Translate(Q_1, c) → M_1Segment(L_1, M_1) → i'Translate(R_1, c) → N_1Translate(Q_1, c) → O_1Segment(N_1, O_1) → j'Segment(O_2, P_2) → hPoint(h) → Q_2Point(h) → K_2Segment(O_{3}, P_{3}) → h_{3}Point(h_{3}) → Q_{3}Point(h_{3}) → K_{3}Translate(O_2, b) → L_2Translate(P_2, b) → M_2Translate(O_2, c) → N_2Translate(P_2, c) → R_2Segment(N_2, R_2) → h'Translate(Q_2, c) → S_2Translate(K_2, c) → T_2Angle(N_1, M_1, L_1) → βPolygon(U_2, V_2, W_2, Z_2) → q2, u_2, v_2, w_2, z_2
AI Drawing Prompt Reference
Draw a geometric figure that demonstrates translation and rotation. Start by creating basic points, then use vector and transformation commands to move and rotate them. Include translated and rotated versions of the figures, as well as new figures generated by these transformations. Ensure the relationships between objects are clear and the order of transformations is logical to illustrate the concepts of translation and rotation.
The prompt above was compiled from the original drawing commands and is for reference only.