Creating Analog Clock Animations with GeoGebra

Time is the entire series covering when processes, actions, or circumstances exist or take place. Units of time are denoted by hours, minutes, and seconds. With a clock we can measure when an event occurs. Most clocks in circulation today are either analog or digital. Analog clocks have three hands. The longest hand shows seconds, the short hand shows hours, and the remaining hand shows minutes. Look at the following image.

As is known, a circle is a simple closed curve which is the locus of points that have the same distance from a certain point. The circumference of a circle is the length of the path taken along the circle from the origin back to the origin. The area of ​​a circle is the area bounded or surrounded by a circular curve. The formula for finding the circumference and area of ​​a circle is:

As is known, a triangle is a flat figure that has three sides and three angles, and the sum of the measures of the three angles is $180^0$. Also understand that to find the area of ​​a triangle, use the formula:

\(L\ \Delta =\frac{1}{2}\ a\times t\)

Where did this formula come from? Is there a connection between triangles and quadrilaterals? In this article, I will provide a guide on how to prove the area of ​​a triangle using the area of ​​a quadrilateral using the GeoGebra application.

This article explains how to create a rotation animation for a quadrilateral using GeoGebra.

Steps to Create a Quadrilateral Rotation Animation in GeoGebra

1. Open GeoGebra

Open the GeoGebra application on your computer or device.

Trigonometry comes from Greek which consists of the words "trigonon" which means triangle, and "metron" which means measure. According to its origin, trigonometry is a branch of science that tries to investigate the motion of celestial bodies such as the sun, moon and stars, including calculating/estimating their positions. Trigonometry is a comparison value defined in Cartesian coordinates or a right triangle. Trigonometry is identical to trigonometric functions which include sine (sin), cosine (cos), tangent (tan), cosecan (cosec), secan (sec), and cotangent (cotan) all of which are ways to determine the side of a triangle or the angle formed from two sides in a triangle.

In grade IX transformation geometry, students learn reflection, rotation, translation, and dilation. This article explains how to create a circle dilation animation in GeoGebra.

Dilation is a transformation that changes the size of a figure, either enlarging or reducing it, without changing its shape.

Steps to Create a Circle Dilation Animation in GeoGebra

1. Open GeoGebra

Open the GeoGebra application on your computer or device.

Geogebra is a dynamic program that has facilities for visualizing or demonstrating mathematical concepts as well as a tool for constructing mathematical concepts. In this regard, on this occasion, I will provide guidance on creating and animating trigonometric function curves, namely sine curves and cosine curves. Look at the following image.

Drawing and Animating Rectangles in GeoGebra

To draw and animate a rectangle in GeoGebra, follow the steps below.

Step 1: Creating a Slider

Create a slider by clicking the Slider tool, then click the GeoGebra workspace. The following dialog box will appear.

Drawing and Animating Angle Relationships on Two Parallel Lines

This article explains how to draw and animate angle relationships on two parallel lines intersected by another line using GeoGebra. This topic is commonly studied in grade VII mathematics.

Creating a Two-Circle Shadow Animation in GeoGebra

This tutorial shows how to create a moving shadow-like pattern from two circles in GeoGebra. The effect comes from animating a point on one circle, building another circle from that moving point, and letting its trace produce a colorful pattern.