Final answer:
To add or subtract points or sides to a star or polygon, apply similar techniques to vector addition or subtraction, utilizing methods such as the head-to-tail method, adjusting the pattern of the shape, or following specific construction procedures for accuracy.
Step-by-step explanation:
When drawing a star or polygon shape and the need arises to add or subtract points or sides, one may approach this geometric problem similarly to adding or subtracting vectors. For adding, you can simply extend the number of sides by continuing the pattern of the shape. Subtraction requires the removal of sides while maintaining the geometric properties of the initial shape, ensuring the remaining sides are adjusted accordingly.
To visually add or subtract vectors acting in a straight line, like in the illustration of combining forces, one might use algebraic techniques. The head-to-tail method could be applied wherein vectors are positioned in sequence such that the head of one vector touches the tail of the next. The resulting vector, or the change in points or sides, can be determined by drawing a line from the tail of the first vector to the head of the last one.
For complex shapes and precise constructions, like an ellipse or economic diagrams showing substitution and income effects with points of tangency, a more careful approach following established procedures may be needed to ensure accuracy.