What is the term used to describe the action of using a compass to create a shape, line or angle accurately?

The term that describes the action of using a compass to create a shape, line, or angle accurately is "construct." In geometry, construction refers to the precise drawing of figures using basic tools like a compass and straightedge, without the use of any measuring devices.

When you construct a figure, you are establishing specific geometric relationships with accuracy, which is fundamental to the discipline. For example, using a compass, you can create circles with specific radii or mark equal distances on a line segment, demonstrating the properties of geometric figures based on defined criteria.

The other terms do not capture this precise action: measuring typically involves quantifying lengths or angles with units; drafting often refers to creating technical drawings with precision but can involve tools beyond basic geometric ones; sketching implies a less formal approach to drawing that may not prioritize accuracy or precision. Therefore, "construct" is the most appropriate term for this action.