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Quiz on Finding Unknowns in Similar Rectangles

Quiz on Finding Unknowns in Similar Rectangles
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2019-05-20 14:44
PolygonTrigonometryCoordinate Geometry
This quiz demonstrates how to find unknown quantities in similar rectangles. Key mathematical concepts include the properties of similar figures and proportional relationships. Using GeoGebra commands such as RandomElement, Polygon, and Midpoint, dynamic constructions and explorations of similar rectangles are facilitated. Suitable for middle school and above students for learning and practice.

GeoGebra Commands & Parameters

  1. RandomElement(listR) → r
  2. RandomElement(listK) → k
  3. Polygon(A, A + (w, 0), A + (w, h), A + (0, h)) → q1, s1, s2, s3, s4
  4. Polygon(B, B + ((k * w), 0), B + ((k * w), (k * h)), B + (0, (k * h))) → q2, s1', s2', s3', s4'
  5. Midpoint(s4) → M_1
  6. Midpoint(s1) → M_2
  7. Midpoint(s4') → M_3
  8. Midpoint(s1') → M_4
  9. Random(1, 4) → qtype
  10. RandomElement({"a", "b", "c", "h", "k", "m", "n", "p", "r", "s", "u", "v", "x", "y"}) → var
  11. Textfield(input) → inputBox1
  12. If(qtype ≟ 1, (r * w), qtype ≟ 2, w, qtype ≟ 3, (k * h), qtype ≟ 4, (k * w)) → ans
  13. Sample(listColor, 2, false) → listColor2
  14. If(qtype ≟ 1, textAns1, qtype ≟ 2, textAns2, qtype ≟ 3, textAns3, qtype ≟ 4, textAns4) → textAns