Application may include
- bisecting geometry
- drawing an arc or circle (radius) through three points
- drawing a line parallel to a straight or curved line at a given distance
- drawing a line perpendicular to another line or from a point not on the line
- dividing a line into equal parts or into proportional parts
- transferring an angle, an odd shape, or a complex shape
- proportionally enlarging or reducing a shape
- drawing polygons (e.g., triangle, square, pentagon, hexagon) inscribed and circumscribed in a circle
- locating the center of a circle
- constructing an arc tangent to a right angle, acute angle, obtuse angle, straight line, curve, or two arcs or diameters of unequal radii, an arc concave and convex to a line and another arc or circle
- constructing tangencies to various geometry.
Process/Skill Questions:
- Why is it important to learn how to complete these processes by hand as well as with tools such as CAD?
- How are geometric construction principles used in drawing plans for structures?