What is the difference between sketching and constructing geometric figures? give a real-world example of each.

Sketching = only a rough ideas how an object should be
Constructing = the actualization of that idea

For example in order to build a tower, architects tend to make prior planning with their sketching.
After the sketching is done, they will start to build the tower based on the sketch that they made. The results may not be 100% similar, but it's good to have a sketch to be held as a guidance on constructing the geometric figures

hope this helps

This would be tesserae.