# 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]
##### 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]