Rhombus with Diagonals 6x and 8x

This example demonstrates a dynamic rhombus whose diagonals are 6x and 8x, where x is a variable parameter. By adjusting x, users can observe how the rhombus shape and area change. Core mathematical concepts include the properties of a rhombus (diagonals are perpendicular bisectors of each other), proportional scaling with a variable, and the area formula (area = half the product of diagonals). Construction details: using GeoGebra commands Intersect, Mirror, LineBisector, Point, and Segment, the objects A, O, C, f, B, D, g, h, i, j, k, l, m, n are created. Point O is the intersection of the diagonals, LineBisector ensures perpendicularity, and Mirror generates symmetric vertices to complete the rhombus. Suitable for middle school geometry lessons on rhombus properties, and for high school coordinate geometry as an introduction to parametric figures.