MathPlotAI Logo MathPlotAI

Measure Diagonal of a Square

Measure Diagonal of a Square
Loading the math board and drawing, please wait…
2014-09-17 18:19
PolygonTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates how to measure the diagonal of a square. It involves core mathematical concepts such as square properties, Pythagorean theorem, and diagonal calculation. Key GeoGebra commands used include Intersect, Circle, Point, LineBisector, Semicircle, Segment, Mirror, and Polygon. Suitable for middle school and above students to understand the relationship between the diagonal and side length of a square and its practical applications.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, B_1) → c
  3. Point(c) → C
  4. LineBisector(A, C) → a
  5. Semicircle(A, C) → d
  6. Intersect(d, a, 1) → D
  7. Segment(A, C) → b
  8. Mirror(D, b) → B
  9. Polygon(A, D, C) → poly1, c_1, a_1, d_1
  10. Polygon(A, B, C) → poly2, c_2, a_2, b_1