exploreDrag the slider or endpoints to set the baseline, then step through to watch the virtual compass draw the waves!
palette Wave Banner Construction
Class 6 Section 8.1: Construct a beautiful traditional **Wavy Wave (తోరణం)** of length AB. We divide the baseline into midpoints and use a compass to swing opposite arcs!
Baseline Length (AB):240 px
Construction Step:Step 1
Base ABMid OSubs M1,M2Top ArcBottom Arc
info Current Step Detail:
Draw a straight horizontal line segment AB representing the central baseline of the wave.
Interactive Compass WorkbenchCompass: Ready
Baseline Ratio
AB = 24.0 cm
Total length of the core alignment segment.
Midpoint Partition
AO = OB = 12.0 cm
Calculated center symmetry: L ÷ 2
Compass Radius
Radius = 6.0 cm
Fixed sweep radius for waves: L ÷ 4
grid_view concentric Symmetry
Section 8.3: Construct a rectangle, find its center using diagonals, and construct a concentric inner square of side length equal to the rectangle's height!
Rectangle Width (W):240 px
Rectangle Height (H):120 px
Construction Step:Step 1
RectangleDiagonalsCenter CAxes RSPointsSquare
info Current Step Detail:
Construct the base rectangle of sides W and H using a ruler and perpendicular builders.
Concentric Construction Workbench
grid_on Rotated Grid Checker
Section 8.2: Identify if the drawn quadrilateral on the dot grid is a perfect square. Use interactive tools (Ruler/Protractor) to verify equal sides and $90^\circ$ corners!
Select Figure Preset
Verification Tools
lightbulb Verification Logic:
A quadrilateral on a dot grid is a **Square** if all 4 sides measure identical lengths, and opposite corner angles measure exactly $90^\circ$. Drag the tools to inspect!
Interactive Dot-Grid Canvas
Plot I: Opposite sides are equal, but adjacent sides are unequal!