[b]This worksheet is useful to practice some basic GeoGebra Tools.[br][br]In the following every time we want to use a precise GeoGebra tool, we will use capital letters[/b]
[b]Views[br][br][/b]There are several "views" of an object.[br]For instance in the following we see the segment f= AB in the views:[br]- algebra: endpoints A, B, with their coordinates, segment f with its definition and lenght[br]- geometry: segment f, you can move and modify[br]- spreadsheet: lenght of segment f as a number to eventually manipulate.[br][br]MOVE (tool [icon]/images/ggb/toolbar/mode_move.png[/icon]) the segment f and points A and B in the geometry view and observe how the segment's elements change in the views.[br]
[b]Points[br][br][/b]To draw a point in the geometry view, just use the POINT ([icon]/images/ggb/toolbar/mode_point.png[/icon] tool) on the screen.[br]To draw a point bound to an object, use the POINT ON OBJECT ([icon]/images/ggb/toolbar/mode_pointonobject.png[/icon] tool) on the chosen object.[br]To draw an intersection point, use the INTERSECT ([icon]/images/ggb/toolbar/mode_intersect.png[/icon] tool) on the two object you want to intersect.[br]Train yourself in the following applet (Draw points and move objects)[br]
[b]Segments and lines[br][br][/b]To draw a segment between two points, just use the SEGMENT ([icon]/images/ggb/toolbar/mode_segment.png[/icon] tool) by clicking on the first and on the second point. Drawn segments can be modified by moving endpoints.[br][br]To draw a segment with a given lenght, use the SEGMENT OF GIVEN LENGHT ([icon]/images/ggb/toolbar/mode_segmentfixed.png[/icon] tool): click on the first endpoint, then write the length of the segment. Drawn segments can be modified by moving the first endpoint everywhere and the second one on a circumference.[br][br]To draw a line, given two points, just use the LINE ([icon]/images/ggb/toolbar/mode_join.png[/icon] tool) by clicking consecutively on the two points. [br][br]To draw a line, that is parallel to a given line, use the PARALLEL LINE ([icon]/images/ggb/toolbar/mode_parallel.png[/icon] tool), by clicking on the given line and on the point you want the line passes through.[br][br]To draw a line, that is perpendicular to a given line, use the PERPENDICULAR LINE ([icon]/images/ggb/toolbar/mode_orthogonal.png[/icon] tool), by clicking on the given line and on the point you want the line passes through.[br][br]Train yourself: draw segments and lines[br]
[b]Circles[/b][br][br]To draw a circle given the center and a point, use the CIRCLE WITH CENTER THROUGH POINT ([icon]/images/ggb/toolbar/mode_circle2.png[/icon] tool), by clicking first on the center and then to the point on the circle.[br][br]To draw a circle given the center and the radius, use the CIRCLE: CENTER & RADIUS ([icon]/images/ggb/toolbar/mode_circlepointradius.png[/icon] tool) by clicking on the center, and insert the chosen radius.[br][br]Train yourself: draw circles
[b]PROPERTIES OF AN OBJECT[/b][br][br]Given an object, you can choose to: [br][br]- Show/hide the object[br]- Show the trace of the object[br]- Change the object properties (colour, style, etc ...)[br][br]To Show/hide the object or Show the trace of the object, click on the object with the right key of the mouse.[br]To change properties use the style bar on the right of the window [br][br]Train yourself: [br]change colour of the point A, [br]choose dotted style for the segment BC, [br]hide point D, [br]SHOW THE TRACE of point E and then MOVE it.