Interactive Practice: Random Triangle Orthocenter and Logarithmic Translation

This example demonstrates an interactive scored practice that combines the orthocenter of a random triangle with translations of exponential and logarithmic functions. Core math concepts include the orthocenter (intersection of altitudes), transformations of exponential and logarithmic graphs, and operations with integers and fractions. Construction details: using GeoGebra commands Polygon, Random, and If, the applet creates a random triangle ABC with vertices A, B, C, the original triangle ORIGINAL, sides c, a, b, the orthocenter hor, and altitude feet D, E, F. It also constructs function graphs i, g, h, along with sliders, text boxes (text1 to text5), and scoring variables score, try, new, add. Suitable for middle or high school classrooms, this activity reinforces orthocenter properties and function translation while providing randomized questions and instant feedback for engaging practice.