Create functions with GeoGebra

A brief introduction to GeoGebra

• GeoGebra has a lot to offer you. The GeoGebra program is made up of the dynamic geometry, algebra and analysis together. GeoGebra is a very good teaching software that combines geometry and algebra.
• With GeoGebra you can easily and quickly create constructions with points, vectors, lines, Straight lines and create conic sections and later change and adapt. You can also directly Functions input. In the direct input, algebraic expressions and functions can be entered easily and according to the textbook notation.
• There are also many commands available: differential and Integral calculus are also part of the program. In addition, the program offers you several views to choose from.

Create functions with the program

1. Start GeoGebra. In the toolbar you will find construction tools. With this you can easily construct your figures with the mouse on the drawing sheet. In the algebra view you can see the coordinates and
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   Equations display. Of course, you can also enter an equation.
2. For example, draw a triangle with the corners A - B - C and construct the perimeter.


Construct the center of the circumference of the triangle - this is how it works

To determine the center of the circumference in a triangle is to draw precisely ...

3. Select the Polygon tool. To do this, you have to click three times on the sheet to create the corner points A - B - C. To complete the triangle, click on the start and end point A. With the "Center perpendicular" function from the toolbar, click on two sides of the triangle. Click the icon when a small arrow appears. Select the "Cut Two Objects" tool. Click on the two vertical lines one after the other to determine the center of the circumference of the triangle. Change that Names of the point and choose a new one. Then select the "Circle with center through point" tool. Click on the symbol to mark the center of the circle U. Your construction is ready.
4. Of course, you can also have the triangle constructed by entering the commands. Open a blank drawing sheet under Menu - New. Go to the entry line. If this is not displayed, you will find the entry line under Menu - View - Entry line. Enter your instructions at the bottom of the screen and hit Enter after each line. Example: A = (x1, y1), B = (x2, y2), C = (x3, y3). These coordinates are freely selectable. Give it though Counting and no letters.
5. Follow the other entries: Polygon [A, B, C], s_a = line symmetry, here again determine the individual points: U = cutting edge [s_a, s_b], k = circle [U, A].
6. As in other Office applications, you can correct errors with the Undo and Redo buttons in the upper right corner of the GeoGebra window. You can also show and hide objects by right-clicking an object in the graphics view.