Clicking the right mouse button on almost any part of Konqueror's window will bring up an appropriate menu:
Right clicking on any free area of the Titlebar brings up the Titlebar Menu, allowing you to control the position of Konqueror's window as well as the decoration applied to all KDE program windows.
Right click on any free area of the Toolbar to bring up the Toolbar Menu. You can use it to control whether the Toolbar is at the top, bottom, left or right of Konqueror's window. You can also use the Toolbar Menu to set the size of the buttons on the Toolbar, and whether they are shown as icons, text or both.
Right click in the URL entry box area to perform Cut, Copy, Paste or Clear operations in this area, or to change the auto completion features.
If you have the Bookmark Toolbar showing, then right click on any free part of it to bring up the Bookmark Toolbar Menu which lets you change its position and whether items are shown as text, icons, or both.
If you right click on any free area of a view then you will get this menu, which contains the Up, Back, Forward and Reload navigation commands as well as the Create new option from the Edit menu.
This is a most useful feature. Right clicking on the name or icon of any file or directory not only "selects" that item but also brings up a menu allowing you to Cut, Copy or Remove the item in various ways, add it to your Bookmarks, open it with the program of your choice or preview it, rename it, or edit the file type or properties.
Right click on the Status Bar at the bottom of a window or view to add or remove a view within Konqueror's window.