GeoGebra Geometry Tools Exploration

Explore the applet below and follow the steps to learn [b]how to[/b] use the [url=https://www.geogebra.org/geometry]GeoGebra Geometry App.[/url]
BASIC TOOLS
[list=1][*]After you complete each of the following directions, you may want to make sure it worked. Do this by clicking on [icon]https://tube.geogebra.org/images/ggb/toolbar/mode_move.png[/icon]. Then move around the item.[/*][*]Create points by using [img width=41,height=42]data:image/png;base64,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[/img]. Click a few times on the screen. [br][/*][*]What is the difference between [img]data:image/png;base64,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[/img]?[br][/*][*]Create an arbitrary triangle using the following tools: (a) [img]data:image/png;base64,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[/img] (b) [img]data:image/png;base64,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[/img] (c) [icon]https://tube.geogebra.org/images/ggb/toolbar/mode_polygon.png[/icon]. What similarities and differences do you notice in creating triangles.[/*][*]Use [icon]https://www.geogebra.org/images/ggb/toolbar/mode_circle2.png[/icon] to create a circle. How do you create the radius of the circle?[br][/*][/list]
EDIT TOOLS: What can we use to make changes to what we've created?
Click on each of these buttons and see what you need to do to make them work.[br][list=1][*]Why would you use [img]data:image/png;base64,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[/img]?[/*][*]What do [img]data:image/png;base64,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[/img]do?[/*][*]What does [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADcAAAA2CAIAAADs5Za0AAABMUlEQVRoge3ZQYqEMBBAUY+SI3gEb+pRvIjEghCyEDEUEgKhyCx6MzrahibRdqi/LszTjVJW8QlVdwOSYmW+WJmvHaVzTmutlOqLBQDGGO/9h0prLQBYa9Mv8UEhBER8HZQyv1I65wCAiMrYthERADjnTidXSmMMIhZT7YSIxpjTsZUSAEIIxUg7EZGU8nRspez7vpjnsJRDWZkWK/PFyhhjjMMwCCGqXwkh5nn+CmWVHCuvraAy14NkJStZyUpWspKV1ys3n5V/q+v6fmXXdW+gTdO0bXu/MmOszBcr8/VPlc/YDF6/ZV2WRWt9OrbdWKfcWa6ISCm1LMvp5PZtO02TlBIRi27Xiei1wx/HMWV+55vAe6+1zvPL5CAppdY65SkeKr8wVuaLlfliZb6eofwB1xkbIH+3/gQAAAAASUVORK5CYIIA[/img] do?[/*][/list]
CONSTRUCTION TOOLS
[list=1][*]Construct a midpoint using [img]data:image/png;base64,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[/img]. What do you notice?[/*][*]What are the differences between [icon]https://www.geogebra.org/images/ggb/toolbar/mode_orthogonal.png[/icon][i] and [img width=49,height=55]data:image/png;base64,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[/img]? You will have to create a line or line segment in order to use these tools. Move around the points of intersection and endpoints to discover differences.[/i][/*][*]Construct a line parallel to another through a point by using [i][img]data:image/png;base64,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[/img]. [/i]Try to make the point at an angle other than 90 degrees.[/*][*]Construct the [icon]https://www.geogebra.org/images/ggb/toolbar/mode_angularbisector.png[/icon] [i]Angle Bisector[/i] for two angles of the triangle. [i]You will need to create an angle (a) use 3 points (b) use 2 lines or segments.[/i][br][/*][*]What does [img]data:image/png;base64,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[/img]do? [i]You need to create a circle with a radius to better understand this tool.[/i][br][/*][/list]
Other Tools
Scoll down to the bottom and click on MORE TOOLS. Go back up to the top.[br][u][b][br]MEASURE:[/b][/u] We will not be using this tool at this point.[br][br][u][b]POINTS:[/b][/u][br]  1. Use [img]data:image/png;base64,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[/img]to create an intersection point.[br]  2. Use [img]data:image/png;base64,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[/img] to create a point on another object.[br][br][u][b]LINES:[/b][/u] We have explored the tools needed in this category. Optional: you can explore the rest of these tools.[br][br][u][b]CIRCLES:[/b][/u] [br][list=1][*]Use [img]data:image/png;base64,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[/img] to create a circle with a radius.[/*][*]This tool [img]data:image/png;base64,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[/img] is a compass. What is this tool useful for?[/*][/list][u][b]POLYGONS[/b][/u]: What will they be useful for?[br][br][u][b]CONICS, TRANSFORM, MEDIA, OTHERS[/b][/u]: We will not be using them at this time. You may explore these on your own.

Information: GeoGebra Geometry Tools Exploration