Definition of Symmetry Rules
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This example illustrates the concept of symmetry rules. It involves symmetry in geometric transformations using basic geometric concepts like rotation and angles. Commands used include Circle, Point, Segment, Rotate, Angle, and PointIn. Suitable for middle school and above students to learn about geometric transformations and symmetry.
GeoGebra Commands & Parameters
Circle(A, a) → cPoint(c) → BSegment(B, A) → fRotate(B, 18°, A) → B'Angle(B, A, B') → αRotate(B', 18°, A) → B''Angle(B', A, B'') → βRotate(B'', 18°, A) → B'''Angle(B'', A, B''') → γRotate(B''', 18°, A) → CAngle(B''', A, C) → δRotate(C, 18°, A) → C'Angle(C, A, C') → εRotate(C', 18°, A) → C''Angle(C', A, C'') → ζRotate(C'', 18°, A) → C'''Angle(C'', A, C''') → ηRotate(C''', 18°, A) → DAngle(C''', A, D) → θRotate(D, 18°, A) → D'Angle(D, A, D') → ιRotate(D', 18°, A) → D''Angle(D', A, D'') → κRotate(D'', 18°, A) → D'''Angle(D'', A, D''') → λRotate(D''', 18°, A) → EAngle(D''', A, E) → μRotate(E, 18°, A) → E'Angle(E, A, E') → νRotate(E', 18°, A) → E''Angle(E', A, E'') → ξRotate(E'', 18°, A) → E'''Angle(E'', A, E''') → οRotate(E''', 18°, A) → FAngle(E''', A, F) → ρRotate(F, 18°, A) → F'Angle(F, A, F') → σRotate(F', 18°, A) → F''Angle(F', A, F'') → τRotate(F'', 18°, A) → F'''Angle(F'', A, F''') → υSegment(B, D''') → gSegment(F''', D''') → hSegment(F'', D''') → iSegment(F', D''') → jSegment(F, D''') → kSegment(E'', D''') → lSegment(E', D''') → mSegment(E, D''') → nSegment(D''', D''') → pSegment(D'', D''') → qSegment(D', D''') → rSegment(D, D''') → sSegment(C''', D''') → tSegment(C'', D''') → bSegment(C', D''') → dSegment(C, D''') → eSegment(B''', D''') → f_1Segment(B'', D''') → g_1Segment(B', D''') → h_1Segment(E''', D''') → i_1PointIn(c) → PointcSegment(I, J) → j_1
AI Drawing Prompt Reference
Draw a circle c, then take point B on the circle and connect BA. Next, rotate point B around A by 18 degrees to form points B', B'', B''', etc. Connect adjacent points to form a polygon. Finally, connect B to D''', F''' to D''', F'' to D''', F' to D''', F to D''', E'' to D''', E' to D''', E to D''', D'' to D''', D' to D''', D to D''', D''' to D'', D'' to D'', D' to D'', D to D'', E''' to D', E'' to D', E' to D', E to D', F''' to D', F'' to D', F' to D', F to D', E''' to D.
The prompt above was compiled from the original drawing commands and is for reference only.