IM Geo.1.8 Lesson: Using Technology for Constructions

Use the Constructions App.
Try all the tools in the workspace.
[size=150]Find the Undo button. [br][br][img]data:image/png;base64,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[/img][br][br]Click on the image of 3 stacked segments, the Main Menu, to save your work or go to a new page.[br][br][img]data:image/png;base64,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[/img][/size][br][br]Which tools do the same work as a straightedge?
The Constructions App has 3 tools to make a point. To learn about them, use the applet. In this applet, all 3 point tools have been used.
(or open the applet at [url=https://ggbm.at/cuupdskk]ggbm.at/cuupdskk[/url]).[br][br]Drag each point and each line around to see what happens in the Graphics View on the right.[br][br]Look at the way the points are defined in the Algebra View on the left.[br][br]Explain how each definition is related to the behavior of the corresponding point .
There are several ways to use the compass tool. Use the applet below.
First, set up a workspace that looks something like the image:
[img]data:image/png;base64,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[/img][list][*]Draw circle  through [math]A[/math] point [math]B[/math].[/*][*]Draw segment [math]CD[/math] not intersecting the circle centered at [math]A[/math].[br][/*][*]Draw point [math]E[/math] not intersecting the circle centered at [math]A[/math] or segment [math]CD[/math].[/*][/list]Select the compass tool and then click on segment [math]CD[/math]. What happens?
Now click on the point [math]E[/math]. What happens?
Make a new segment [math]EF[/math] that is the same length as [math]CD[/math].[br]Make a circle with the same radius as the circle centered at [math]A[/math].[br][br]Explain how the digital compass tool is the same and how it is different from a physical compass.
Use the applet to create one or more of these figures:
[list][*]a perpendicular bisector of line segment [math]AB[/math][/*][*]an equilateral triangle[/*][*]a regular hexagon[/*][*]a square[/*][*]a square inscribed in a circle[/*][*]two congruent, right triangles that do not share a side[/*][/list][br]In order for your construction to be successful, it has to be impossible to mess it up by dragging a point. Make sure to test your constructions.
When you use the GeoGebra Geometry App below, you’ll see some basic tools.
(You can also go to [url=https://www.geogebra.org/geometry]geogebra.org/geometry[/url])[br][br]Click on the word “MORE” and you’ll see some categories of tools, including “Construct” tools.[br][table][tr][td]perpendicular line tool[/td][td]parallel line tool[/td][/tr][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br][list][*]Construct a line or a line segment and an additional point that is not on it. Then try the perpendicular line tool and the parallel line tool. Use the move tool to drag some points around, and observe what happens.[/*][*]Use any of the digital tools to create one or more of these figures. Test your constructions by dragging a point.[/*][/list][table][tr][td] [/td][td][math]\odot[/math]parallelogram[br][/td][td] [/td][td] [/td][td] [/td][td] [/td][td] [/td][td] [/td][td] [/td][td] [/td][/tr][tr][td][/td][td][math]\odot[/math]rectangle[br][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][/tr][tr][td][/td][td][math]\odot[/math]rhombus[br][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][/tr][tr][td][/td][td][math]\odot[/math]square[br][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][td][/td][/tr][/table]  
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Information: IM Geo.1.8 Lesson: Using Technology for Constructions