01
Explain kin through the shared rule
Kin suggests a relationship, but the project must define the relationship it intends. In the worked guide, a child shape is created by applying a recorded operation to its parent. In an illustration collection, kinship might instead mean a shared style. Both are plausible, but they should not be conflated. A concise descriptor can identify whether the site offers a designed collection or a mathematical learning resource. That first distinction gives readers a sensible way to interpret the examples they encounter.
02
Distinguish a vector graphic from a vector quantity
Vector can refer to a mathematical quantity with components or to a type of graphic representation. A brand using the word can benefit from both associations, yet its explanations should remain precise. The guide uses coordinate points to define a triangle and transformations to produce related shapes. It does not claim that every vector illustration is generated by that procedure. A drawing tool might export paths, while a lesson manipulates coordinates. Naming the actual operation is more informative than relying on the shared word alone.
03
Make the family tree useful rather than decorative
A family tree should show the source triangle, the scaled descendant and the translated descendant with arrows labelled by their operations. Each node needs an identifier so a reader can refer to it without depending on colour. The diagram can then act as a navigation aid for the calculation. A decorative tree of similar shapes would communicate less because the relationship would remain implicit. Keeping coordinates nearby makes the image useful for checking the guide, not merely for suggesting that the collection is systematic.