First, press the button to bring up this screen. Then scroll to the Waypoints menu item and press .
Select the By name menu entry and press .
Now you could enter the (beginning of) the name of a waypoint, but since we are deleting all waypoints, that won't help. =8-) So, we press to exit this screen. Note: pressing would revert to the previous screen.
Now we can see our waypoint list and we press .
Select the Delete all menu entry and press .
Confirm that you really want to delete all waypoints by selecting Yes and pressing . Now all waypoints are deleted.
Alternatively, we could have chosen not to select Delete all, but Delete by symbol. Then we press .
That would have shown this screen, where we could have selected a single symbol and pressed . After a confirmation, all waypoints with that symbol would have been deleted.