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7th Grade Dilations - Quadrilateral

7th Grade Dilations - Quadrilateral
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2016-02-29 11:17
PolygonCoordinate Geometry
In collections Dilations for 7th Grade
This example demonstrates the transformation of a quadrilateral under similarity (dilation). Core math concepts include properties of similar figures, principles of dilation, and applications of coordinate geometry. Construction highlights the use of GeoGebra commands Polygon, Intersect, and Dilate, manipulating points A, B, C, D and center a to dynamically show quadrilateral ABCD and its dilated image A'B'C'D'. Suitable for 7th-grade students to learn the geometric meaning of similarity transformations and the practical applications of dilation.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C, D) → poly1, a, b, c, d
  2. Intersect(xAxis, yAxis) → E
  3. Dilate(A, e, E) → A'
  4. Dilate(B, e, E) → B'
  5. Dilate(C, e, E) → C'
  6. Dilate(D, e, E) → D'
  7. Polygon(A', B', C', D') → poly1', a', b', c', d'