Create two triangles and check if both figures are congruent or not.[br][br]Explore the construction and learn how to check with [i]Geometry [/i]in [i][url=https://www.geogebra.org/calculator][i]GeoGebra Calculator Suite[/i][/url][/i] if two figures are congruent or not. Then try it yourself by following the instructions below.
[table][tr][td]1.[/td][td][img]https://wiki.geogebra.org/uploads/thumb/f/f1/Stylingbar_graphicsview_show_or_hide_the_grid.svg/32px-Stylingbar_graphicsview_show_or_hide_the_grid.svg.png[/img][/td][td]Open the [img]https://wiki.geogebra.org/uploads/thumb/d/d2/Ic_settings_black.svg/16px-Ic_settings_black.svg.png[/img] [i]Settings,[/i] select [i]Show Grid[/i] and choose [i]Major and Minor Gridlines.[/i][br][b]Note:[/b] In the Mobile App select [i]Grid Type[/i] before you can choose [i]Major and Minor Gridlines.[/i][/td][/tr][tr][td]2.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon][/td][td]Create two triangles next to each other.[/td][/tr][tr][td]3.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td][td]Use the [i]Move[/i] tool to select one of the vertices and change its style.[/td][/tr][tr][td]4.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_copyvisualstyle.png[/icon][/td][td]Use the [i]Copy Visual Style[/i] tool to select the previously changed vertice and copy it's style to the other vertices by selecting them.[br][b]Hint:[/b] Choose the [i]Move[/i] tool to leave.[/td][/tr][tr][td]5.[/td][td][/td][td]Switch to the [i]Algebra View[/i].[br]Type [math]If[/math]([math]AreCongruent\left(t1,t2\right)[/math], [i]"Congruent", "Not congruent"[/i]) into the [i]Input Bar[/i] to check if the triangles are congruent. If they are congruent the shown text will be [i]Congruent.[/i][/td][/tr][tr][td]6.[/td][td][/td][td]Switch back to the [i]Tools View[/i].[/td][/tr][tr][td]7.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td][td]Change the style of the text.[br][/td][/tr][tr][td]8.[/td][td][icon]https://www.geogebra.org/images/ggb/toolbar/mode_move.png[/icon][/td][td]Move the corners to obtain two congruent triangles.[/td][/tr][/table][br][b]Note: [/b]If you're using the Online App or Desktop App you can do alternative steps instead of steps 6, 7 and 8:[br]First create the boolean value [i]congruent[/i] using the command [math]AreCongruent[/math][i].[/i] Type [math]congruent=AreCongruent\left(t1,t2\right)[/math] into the [i]Input Bar[/i].[br]Then switch back to the [i]Tools View [/i]and create a text. On the dialog select [i]Advanced [/i]and then [img]https://wiki.geogebra.org/uploads/thumb/4/4e/Geogebra-logo-elipse.svg/16px-Geogebra-logo-elipse.svg.png[/img] [i]GeoGebra[/i] and select the variable [i]congruent.[/i] Press [i]OK [/i]to confirm.