Learn Geometry with us! Geogebra

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Basic Geometry with GeoGebra

GeoGebra is a fantastic dynamic geometry programme. It is free, interactive, and multi-platform. Its main goal is to help teach and learn mathematics. It covers all levels of education, from school to university. It includes manuals, guides, and video tutorials.

It is available on Windows, Mac OS, Linux, and every tablet platform — even as a Chrome Application.

Drawing lines and segments

Let’s start by drawing a simple line.

Please, observe that this applet works and that you can use it to follow these instructions without needing to install anything.

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If you want to draw a segment, you have to select the Segment option from the menu Line.

Then, you have to double click the central area again and, as a result, you will get two points (C, D) and a segment.

It is also possible to get the same result from the input field in the bottom panel. If you want to introduce points, just type: (6, 2), (4.5). Drawing lines is very simple, too. Let me illustrate with some examples: y = 2 * x + 3 or 3 * x-7 * y = 0.

Depending on your browser, you may need to install Java. If you are a Windows user just go to Java.com Follow these instructions to install Java In Ubuntu:

1 sudo apt-get purge openjdk* --1. Instalar Java
2 sudo add-apt-repository ppa:webupd8team/java
3 sudo apt-get update
4 sudo apt-get install oracle-java8-installer --2. Habilita Java en Firefox

Drawing angles, circles, tangents, and bisectors.

Let’s draw an angle and its bisector.

Check your results. Ask Geogebra to show you the angles between the angle’s bisector line and AB and AC.

Geogebra is a dynamic software application, so you can move points A, B, C, and all the angles, and the bisector will update automatically.

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Let’s draw a circle. Select the Circle with Center through Point.

Click on the central area (A, it will be the centre of the circle), and then, click again on another point that will delimit its radius (B). If we wrote in the input field: Circle [A,7], we would get a circle with centre A and a radius of 7. If we have two points A and B, Circle [A,B] returns a circle with centre A passing through point B.

If we have a third point C, we can construct the tangent line to the circle passing through it. Just select the option Tangents in the menu Perpendicular line. First, click on the point C, and then, on the circle. We could have also written the command Tangent[C, c] where C is the point, and c the circle.

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Anawim

Author: Anawim

We are people who want to change the world. We hope to continue to do our bit and make a difference in helping make the world a better, more sustainable, prosperous, and fairer place. We are social and religious activists. Anawim is the founder and leader of the project; I am always willing to give free talks and lectures about the social problems that exist in our world today.

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