Geometry Perspective

The [img]https://wiki.geogebra.org/uploads/thumb/a/af/Perspectives_geometry.svg/16px-Perspectives_geometry.svg.png[/img] [i]Geometry Perspective[/i] displays the [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i] without the [img]https://wiki.geogebra.org/uploads/thumb/7/7d/Stylingbar_graphicsview_show_or_hide_the_axes.svg/16px-Stylingbar_graphicsview_show_or_hide_the_axes.svg.png[/img] [i]coordinate axes[/i], as well as the [i]Graphics View Toolbar[/i] and the [img]https://wiki.geogebra.org/uploads/thumb/3/38/Menu-edit-undo.svg/16px-Menu-edit-undo.svg.png[/img] [img]https://wiki.geogebra.org/uploads/thumb/8/85/Menu-edit-redo.svg/16px-Menu-edit-redo.svg.png[/img] [i]Undo / Redo[/i] buttons in the top right corner.[br]
The Graphics View
The [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i] always displays the graphical representation of objects created in [i]GeoGebra[/i]. In addition, the [i]Graphics View Toolbar[/i] is displayed at the top and the [i]Undo / Redo[/i] buttons in the top right corner.[br][br][b]Note:[/b] The [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i] is part of almost all [url=https://www.geogebra.org/m/XUv5mXTm#material/ncjbw5zr]Perspectives[/url] and can be customized (e.g. show different kinds of [img]https://wiki.geogebra.org/uploads/thumb/f/f1/Stylingbar_graphicsview_show_or_hide_the_grid.svg/16px-Stylingbar_graphicsview_show_or_hide_the_grid.svg.png[/img] grids and/or [img]https://wiki.geogebra.org/uploads/thumb/7/7d/Stylingbar_graphicsview_show_or_hide_the_axes.svg/16px-Stylingbar_graphicsview_show_or_hide_the_axes.svg.png[/img] coordinate axes).[br][br]Using the [i]Construction[/i] [i]Tools [/i]available in the [i]Graphics View Toolbar[/i] you can create geometric constructions in the [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i]. Select any construction [i]Tool [/i]from the [i]Graphics View Toolbar[/i] and read the appearing [i]Tooltip [/i]to find out how to use the selected [i]Tool[/i].[br][br][b]Note:[/b] Any object you create in the [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View [/i]also has an algebraic representation in the [img]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/16px-Menu_view_algebra.svg.png[/img] [i]Algebra View[/i].
Task
Get in touch with the [size=100][img]https://wiki.geogebra.org/uploads/thumb/a/af/Perspectives_geometry.svg/16px-Perspectives_geometry.svg.png[/img][/size] [i]Geometry Perspective[/i] by following the instructions.
Instructions
[table][tr][td][size=100]1.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon][/size][/td][td][size=100]Select the [i]Circle with Center through Point[/i] tool and click two times in the [img]https://wiki.geogebra.org/uploads/thumb/a/af/Perspectives_geometry.svg/16px-Perspectives_geometry.svg.png[/img] [i]Graphics View[/i].[br][/size][/td][/tr][tr][td][size=100]2.[/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/size][/td][td][size=100]Select the [i]Move[/i] tool and drag point [i]B[/i] on the circle.[br]Explore how the size of the circle changes.[br][/size][/td][/tr][tr][td][size=100]3.[/size][/td][td][size=100][img]https://wiki.geogebra.org/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/32px-Stylingbar_icon_graphics.svg.png[/img][/size][/td][td][size=100]Open the [i]Graphics View Style Bar[/i] by clicking on the symbol in the top right corner.[br][/size][/td][/tr][tr][td][size=100]4.[/size][/td][td][size=100][icon]https://wiki.geogebra.org/uploads/thumb/7/7d/Stylingbar_graphicsview_show_or_hide_the_axes.svg/120px-Stylingbar_graphicsview_show_or_hide_the_axes.svg.png[/icon][/size][/td][td][size=100]Show the [i]coordinate axes[/i] by clicking on this icon.[br][/size][/td][/tr][tr][td][size=100]5. [br][/size][/td][td][size=100][icon]https://wiki.geogebra.org/uploads/thumb/f/f1/Stylingbar_graphicsview_show_or_hide_the_grid.svg/120px-Stylingbar_graphicsview_show_or_hide_the_grid.svg.png[/icon][/size][/td][td][size=100]Show the grid by clicking on the grid in the [img]https://wiki.geogebra.org/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/16px-Stylingbar_icon_graphics.svg.png[/img] [i]Style Bar[/i].[br][/size][/td][/tr][tr][td][size=100]6.[br][/size][/td][td][size=100][icon]https://www.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon][br][/size][/td][td][size=100]Draw a quadrilateral by clicking four times into the [img]https://wiki.geogebra.org/uploads/thumb/a/af/Perspectives_geometry.svg/16px-Perspectives_geometry.svg.png[/img] [i]Graphics View[/i].[url=http://www.dict.cc/englisch-deutsch/quadrilateral.html][/url] Close the quadrilateral by clicking on the first point again.[br][/size][/td][/tr][/table]
Try it yourself...
Displaying a second Graphics View
A second [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i] can be shown using the [img]https://wiki.geogebra.org/uploads/thumb/6/67/Menu-view.svg/16px-Menu-view.svg.png[/img] [i]View Menu of the app's [img]https://wiki.geogebra.org/uploads/thumb/f/f6/Menu-button-open-menu.svg/16px-Menu-button-open-menu.svg.png[/img] menu[/i]. If two [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics Views[/i] are visible, one of them is always active (either it's being worked with and it has bold caption, or it is the last [i]View [/i]that has been worked with). All visible objects created by [i][url=https://wiki.geogebra.org/en/Commands]Commands[/url][/i] appear in the active [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i]. For each object you can specify in which [img]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphic View(s)[/i] it will be visible using the [i]Advanced[/i] tab of the [img]https://wiki.geogebra.org/uploads/thumb/3/30/Menu-options.svg/16px-Menu-options.svg.png[/img] [i][url=https://www.geogebra.org/m/XUv5mXTm#material/ncrtzrq5]Settings[/url][/i].
Modifying Mathematical Objects
[b]The [img width=26,height=26]https://wiki.geogebra.org/uploads/thumb/8/83/Mode_move.svg/26px-Mode_move.svg.png[/img] Move Tool[/b][br]After activating the [img width=20,height=20]https://wiki.geogebra.org/uploads/thumb/8/83/Mode_move.svg/20px-Mode_move.svg.png[/img][i]Move Tool [/i]you are able to move objects in the [img width=16,height=16]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i] by dragging them with the mouse or with a touch pad. [br][br][b]Note:[/b] At the same time, their algebraic representations are dynamically updated in the [img width=16,height=16]https://wiki.geogebra.org/uploads/thumb/4/40/Menu_view_algebra.svg/16px-Menu_view_algebra.svg.png[/img] [i][url=https://www.geogebra.org/m/XUv5mXTm#material/ncjbw5zr]Algebra View[/url][/i].[br][br][br][br][b]Copy & Paste[/b][br]Via Keybord Shortcut Ctrl + C and Ctrl + V (Mac OS:Ctrl + C and Ctrl + V) you can [i]Copy and Paste[/i] selected objects (except if they depend on the coordinate axes) into either the same or into another window. [br][br][b]Note:[/b] [i]Copy and Paste[/i] will copy every ancestor of the selected objects but makes the non-selected objects invisible.[br][b]Example:[/b] If you copy objects depending on sliders into a new window, it will copy the slider (invisible) into the window, too.[br][br]The pasted object is fixed when you click on the [img width=16,height=16]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i]. If the copied object depends on at least one point then it can snap onto existing points when pasted (but only the point following the mouse pointer will do this).
Hiding Mathematical Objects in the Graphics View
You may hide objects in the [img width=16,height=16]https://wiki.geogebra.org/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i] by either[br][br][list][*] using the [img width=18,height=18]https://wiki.geogebra.org/uploads/thumb/2/25/Mode_showhideobject.svg/18px-Mode_showhideobject.svg.png[/img][i] Show/Hide Object Tool[/i][/*][*] opening the Context Menu and unchecking [img width=18,height=18]https://wiki.geogebra.org/uploads/thumb/2/25/Mode_showhideobject.svg/18px-Mode_showhideobject.svg.png[/img] [i]Show Object[/i][/*][/list]

Information: Geometry Perspective