You see here the dialog for points. The name and the description are auto-generated, and can be changed. The coordinates can be changed, if the point is movable. In this case the point can also be fixed to its place.
The next three rows of icons are common to all objects. The first determines the color, the second the thickness of objects. The third contains a toggle to hide or show the object, and two switches to display the name and the size or position of the object. Then there is a switch that puts the object into the background.
The last row has icons for the display type of the point. The dot icon makes an almost invisible point.
To bind the point to an object (circle or line type), press the button "Bind to object" and select an object. If the point is bound, the button will be named "Release".
Intersections have two special buttons and special fields to be able to choose between the two intersection points. There will be a button to keep the intersection point close to some other point (defined before it!), or away from some other point.