Match Items to Given Ratio

Match Items to Given Ratio
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2019-05-29 09:48
This example demonstrates how to adjust points to match a given ratio. Key math concepts include ratios and coordinate geometry. Commands like Polygon and Element are used. Suitable for middle school and above students learning ratios and coordinate geometry.

GeoGebra Commands & Parameters

  1. Polygon((0, 1), (4.8, 1), (4.8, 4), (0, 4)) → Ratio1Box, f, g, h, i
  2. Polygon((0, 5.7), (14.8, 5.7), (14.8, 4.6), (0, 4.6)) → ItemBox, n, p, q, r
  3. Polygon((0.2, 2.5), (2, 2.5), (2, 1.5), (0.2, 1.5)) → aBox, j, k, l, m
  4. Polygon((2.8, 2.5), (4.6, 2.5), (4.6, 1.5), (2.8, 1.5)) → bBox, s, t, a, b
  5. Polygon(Point1Centre, Point1Centre + (2, 0), Point1Centre + (2, -1), Point1Centre + (0, -1)) → DragBox1, p_1, q_1, r_1, d_2
  6. Polygon(Point2Centre, Point2Centre + (2, 0), Point2Centre + (2, -1), Point2Centre + (0, -1)) → DragBox2, s_1, t_1, a_1, e_2
  7. Polygon(Point3Centre, Point3Centre + (2, 0), Point3Centre + (2, -1), Point3Centre + (0, -1)) → DragBox3, b_1, c_1, d_1, f_3
  8. Polygon(Point4Centre, Point4Centre + (2, 0), Point4Centre + (2, -1), Point4Centre + (0, -1)) → DragBox4, e_1, f_2, g_2, g_3
  9. Polygon(Point5Centre, Point5Centre + (2, 0), Point5Centre + (2, -1), Point5Centre + (0, -1)) → DragBox5, h_2, i_2, j_2, h_3
  10. Element(CurrentItems, 1, 3) → o
  11. Polygon((10.2, 0.7), (10.35, 0.7), (10.35, 1.1), (10.2, 1.1)) → WhiteCover1, k_2, l_2, m_2, n_2
  12. Polygon((7, 2.6), (7, 3), (7.1, 3), (7.1, 2.6)) → WhiteCover2, p_2, q_2, r_2, s_2
  13. Polygon((13.6, 2.9), (13.6, 3.3), (13.75, 3.3), (13.75, 2.9)) → WhiteCover3, t_2, a_2, b_2, c_2