Which of the following statements about sketch mode in SolidWorks is true?

In sketch mode in SolidWorks, the statement regarding the number next to the cursor displaying the exact size of the sketch element is true. This feature provides real-time feedback to the user while sketching, allowing them to see dimensions as they create lines, arcs, and other sketch entities. It aids in precision, as users can quickly gauge the sizes they are working with without having to apply dimensions immediately.

The visual feedback helps in driving accuracy during the sketching process, which is essential in ensuring that the intended design specifications are met from the very beginning. This capability allows designers to make informed decisions about the size and positioning of sketch elements before fully defining them.

The other statements, while relevant to sketching in SolidWorks, do not hold true universally. For instance, dimensions are beneficial for defining sizes but are not always a strict requirement, as one might begin a sketch without immediately applying dimensions. Similarly, the color coding helps indicate the state of the sketch, but typically, under-defined geometry is displayed in blue, while fully defined entities appear in black. As for the last statement, it's possible for a sketched line to be placed without constraints, showing that constraints are useful for controlling elements but not strictly necessary at every stage of the sketching process