1. Geometry
Windows/Mac/iPad/Android Pad/iOS/Android:
This feature can be configured based on the institution's needs. If required, institutions can apply for configuration through Neukol customer service.
1.1 Open Geometry
- Instructor/Assistant clicks on Control Bar - Toolbox
- Select "Geometry" within the toolbox.

Open Geometry
1.2 Select Geometry
- Available shapes include: Line, Arrow, Triangle, Right Triangle, Isosceles Triangle, Equilateral Triangle, Quadrilateral, Rectangle, Square, Rhombus, Parallelogram, Trapezoid, Right-angled Trapezoid, Isosceles Trapezoid, Circle, Sector, Cube, Cone, Cylinder.
- The color, line thickness, dashed or solid lines, and fill of the shapes are consistent with the styles of the toolbar pen.
- Selected shapes can be displayed on the blackboard and course materials.

Select Geometry
1.3 Adjust Geometry
- Instructors, assistants, and students with editing permissions can adjust geometric shapes.
- Upon selecting a geometric shape, the [Rotate], [Vertex], and [Delete] buttons will appear around it.
- Users can drag the [Vertex] to adjust the shape while maintaining its features (right angle, equilateral, isosceles, etc.).
- Users can select the lines of the geometry and drag to adjust its position.

Adjust Geometry
2. Adjusting Blackboard Element Rotation
Windows/Mac/iPad/Android Pad/iOS/Android:
Shapes/images on the blackboard/course materials support rotation and scaling adjustments.
2.1 Element Rotation
- Elements: Line, Ellipse, Rectangle, Geometric Shapes (except Circle, Sector, Cube, Cone, Cylinder) all support rotation.
- Instructors, assistants, and students with editing permissions can rotate elements.
- When an element is selected, a [Rotate] button will appear directly above it.
- By pressing and dragging the [Rotate] button, the element will rotate in the direction of the drag (0~360 degrees).
Note: During rotation, the central point of the element remains unchanged.

Element Rotation
2.2 Element Shape Adjustment
- Elements: Line, Rectangle, Ellipse, and Geometric Shapes support shape adjustments.
- Instructors, assistants, and students with editing permissions can adjust the shape of elements.
- When an element is selected, [Vertices] will appear around it.
- Users can drag the [Vertices] to adjust the shape while maintaining its inherent features (right angle, equilateral, isosceles, etc.).

Element Shape Adjustment
2.3 Element Operations
- When the [Image] element is selected individually, you can scale, delete, and move its position.
- When the [Line, Rectangle, Ellipse, Geometry (excluding Circle, Sector, Cube, Cone, Cylinder)] element is selected individually, you can rotate, adjust the shape, delete, and move its position.
- When the [Geometry (Circle, Sector, Cube, Cone, Cylinder)] element is selected individually, you can adjust the shape, delete, and move its position.
- When the [Pen] element is selected individually, you can delete and move its position.
- When multiple elements are selected, you can delete and move their positions.
3. Shape Fill
Windows/Mac/iPad/Android Pad/iOS/Android:
This feature can be configured based on the institution's needs. Institutions requiring this feature can apply for configuration through Neukol customer service.
- Elements: Rectangle, Ellipse, and Geometry support fill effect toggling.
- Instructors, assistants, and students with editing permissions can toggle the fill effect for shapes.
- After users switch to solid fill, drawing rectangles, ellipses, and geometry will display the shapes with a solid effect.
- The color of the shape fill matches its border.

Shape Fill