Below you can see a point [b][i][color=#0000ff]A[/color][/i][/b] that was reflected at the line in order to create its image [b][i][color=#cc0000]A'[/color][/i][/b].[br][br][b]Task 1[/b][br]Drag point [b][i][color=#0000ff]A[/color][/i][/b] with the mouse along the outline of the flower. Write down your observations.[br][u]Hint[/u]: Press the button [i]Delete Trace[/i] in order to delete the trace and start over.
[b]Task 2 [/b][br]How many axes of symmetry does this flower have?[br][u]Hint[/u]: Drag the [b][color=#38761d]green points[/color][/b] in order to change the position of the line of reflection. Then, repeat step 1 for every position of the line.
Learn how to recreate the figure used above to explore the concept of symmetry.[br][br][table] [tr] [td]1.[/td] [td][br][/td] [td]Make sure that you have the [url=http://static.geogebra.org/book/intro-en/worksheets/flower.jpg]picture of the yellow flower[/url] saved on your computer before you start with the actual construction.[br][/td][/tr] [tr] [td]2.[/td] [td][icon]https://tube.geogebra.org/images/ggb/toolbar/mode_point.png[/icon][br][/td] [td]Create a new point [i]A[/i].[br][/td][/tr] [tr] [td]3.[/td] [td][icon]/images/ggb/toolbar/mode_join.png[/icon][/td] [td]Construct a line of reflection through two new points.[/td][/tr] [tr] [td]4.[/td] [td][icon]/images/ggb/toolbar/mode_mirroratline.png[/icon][/td] [td]Mirror point [i]A[/i] at the line to get its image [i]A’[/i].[/td][/tr] [tr] [td]5.[/td] [td][icon]/images/ggb/toolbar/mode_segment.png[/icon][/td] [td]Create a segment between point [i]A[/i] and its image [i]A’[/i].[/td][/tr] [tr] [td]6.[/td] [td][icon]https://wiki.geogebra.org/uploads/thumb/e/e2/Menu-trace-on.svg/120px-Menu-trace-on.svg.png[/icon][/td] [td]Turn the [i]Trace on[/i] for points [i]A[/i] and [i]A[/i]′.[br][u]Note[/u]: Whenever point [i]A[/i] is moved, it leaves a trace in the [img]https://www.geogebra.org/wiki/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i].[br][/td][/tr][tr] [td]7.[/td] [td][icon]/images/ggb/toolbar/mode_move.png[/icon][/td] [td]Drag point [i]A[/i] to draw a trace.[br][u]Hint[/u]: The menu item [i]Refresh Views[/i] in the [img]https://wiki.geogebra.org/uploads/thumb/6/67/Menu-view.svg/16px-Menu-view.svg.png[/img] [i]View[/i] Menu clears all trace.[br][/td][/tr][/table]
Learn how to recreate the figure used above to explore the concept of symmetry.[br][br][table] [tr] [td]8.[/td] [td][icon]/images/ggb/toolbar/mode_image.png[/icon][/td] [td]Insert the image of the yellow flower into the [img]https://www.geogebra.org/wiki/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i].[br][u]Hint[/u]: Click in the lower left corner of the [img]https://www.geogebra.org/wiki/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img] [i]Graphics View[/i] to insert the picture at this position.[/td][/tr] [tr] [td]9.[/td][td][icon]/images/ggb/toolbar/mode_move.png[/icon][/td] [td]Adjust the position of the inserted image using the [i]Move[/i] tool.[/td][/tr] [tr] [td]10.[/td] [td][icon]https://wiki.geogebra.org/uploads/thumb/3/30/Menu-options.svg/120px-Menu-options.svg.png[/icon][/td] [td]Set the image as [i]Background Image[/i] using tab [i]Basic[/i] of the the [img]https://wiki.geogebra.org/uploads/thumb/3/30/Menu-options.svg/16px-Menu-options.svg.png[/img] [i]Properties Dialog ([/i][img]https://wiki.geogebra.org/uploads/thumb/d/db/Stylingbar_icon_graphics.svg/16px-Stylingbar_icon_graphics.svg.png[/img] [i]Style Bar[/i]).[/td][/tr] [tr] [td]11.[/td] [td][icon]https://wiki.geogebra.org/uploads/thumb/3/30/Menu-options.svg/120px-Menu-options.svg.png[/icon][/td] [td]Reduce the [i]Opacity[/i] of the image using tab [i]Color[/i] of the [img]https://wiki.geogebra.org/uploads/thumb/3/30/Menu-options.svg/16px-Menu-options.svg.png[/img] [i]Properties Dialog [/i]([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][br][/td][/tr][tr] [td][/td][td][br][/td] [td][u]Hint[/u]: After specifying the picture as a background image you can’t select it in the [img]https://www.geogebra.org/wiki/uploads/thumb/c/c8/Menu_view_graphics.svg/16px-Menu_view_graphics.svg.png[/img][i]Graphics View[/i] any more. Check out the [url=https://tube.geogebra.org/student/maUUavEIm]options for background images[/url] for more information.[/td][/tr][/table]