Theory of Intelligence
9TH•Mathematics•Construction And Loci•11.1 Construction of Triangles

Students' Learning Outcomes

Triangle construction, perpendicular bisectors, medians, angle bisectors, altitudes; EXERCISE 11.1.

Students' Learning Outcomes

At the end of the unit, the students will be able to:

  • Construct a triangle having given two sides and the included angle.
  • Construct a triangle having given one side and two of the angles.
  • Construct a triangle having given two of its sides and the angle opposite to one of them.
  • Draw angle bisectors, perpendicular bisectors, medians, altitudes of a given triangle and verify their concurrency.
  • Draw loci and intersection of loci for set of points in two dimensions which are
    • at a given distance from a given point.
    • at a given distance from a given line
    • equidistant from two given points
    • equidistant from two given intersecting lines
  • Solve real life problems using the loci and interesting loci.

Discuss theoretical concepts, mathematical formulas, and architectural foundations.

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